Notes on unoriented D-brane instantons

Marine Samsonyan; Massimo Bianchi

REVIEW

Notes on unoriented D-brane instantons

Massimo Bianchi, Marine Samsonyan

High Energy Physics - Theory · Submitted 11 Sep 2009 · 45 references

Pith's verdict: Useful lecture notes with one genuinely worked check in Lecture 3; the ED-string multi-instanton identification is asserted at the level of moduli, not the measure.

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CitationMarine Samsonyan, Massimo Bianchi. "Notes on unoriented D-brane instantons." arXiv:0909.2173 (2009). https://pith.science/paper/GHPK6UKX

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These are Bianchi's Strings@Cyprus 2008 lectures, written up with Samsonyan. Read them as a review with one worked example, not a research paper. The first two lectures are a clean, opinionated tour: ADHM from D(-1) inside D3, the D3-D(-1) action and super-ADHM constraints, then gauge versus exotic instantons at R^6/Z3 orientifolds, with the U(4) and Sp(6)xU(2) superpotentials written out including explicit zero-mode counting and the fermionic determinant. That part earns its space. The zero-mode bookkeeping (the 'two unlifted fermionic zero-modes' rule) is stated crisply, and the two worked cases make a good template for anyone doing this by hand. The discussion of anomalous U(1)s and axionic shifts is short but well placed, and the phenomenological motivation in 1.3.2 is honest about what instantons can and cannot generate. The third lecture carries the new content: the four-hyperini amplitude on T^4/Z2, absent perturbatively when the four hyperini sit at distinct fixed points, computed on the heterotic side as a worldsheet-instanton sum and matched to Type I ED-string contributions. The heterotic side is solid and follows standard threshold machinery (twist correlators, the Gamma^2 fundamental domain, Poisson resummation). The soft spot is 3.4.4. The step from ED-string twisted sectors to the heterotic non-degenerate orbit is one sentence: fold k copies, read off T(M)=kT(M_k) and U(M)=mU(M_k)+s_l, 'perfect agreement.' That is an identification at the level of the modular parameters, not the measure or the degeneracy factor. The stress-test note is right that this is asserted rather than shown, and the fractional ED-strings on the 16 collapsed cycles that the same section mentions are not obviously excluded from the comparison. The authors do flag in 2.6.1 that multi-instanton effects are hard to evaluate and that duality 'may help' - so they know. But 'perfect agreement' claims more than the displayed computation supports; 'agrees at the level of the Hecke-transformed moduli' would be the honest phrasing. Minor: the summary says T^6/Z2 where it means T^4/Z2. Who should read it: students and postdocs entering instanton model building, and anyone who wants the R^6/Z3 superpotential results collected in one place. Worth a referee's time as proceedings, mainly to press on 3.4.4.

Referee report

Significance

As lecture notes the manuscript has real value: it collects in one place the zero-mode bookkeeping that makes 'gauge' versus 'exotic' instanton effects distinguishable, and it displays explicit, checkable formulae (the fermionic determinant Delta_F, the bosonic integral I_B, the Hecke-transformed moduli) rather than only quoting outcomes. The T^4/Z_2 four-hyperini example is a well-chosen pedagogical case because the coupling is absent at every perturbative order when the hyperini are at four distinct fixed points, so the entire answer is non-perturbative and the duality map is doing visible work. The notes are also candid about what is not settled: the difficulty of multi-instanton sums (Section 2.6.1), the possible contribution of fractional ED-strings on the sixteen collapsed cycles (Section 3.4.4), and the one-loop prefactors that can cancel a given non-perturbative F-term (Section 1.3.2). That candour is a strength and should be preserved in revision. The audience is students and newcomers, and the notes serve that audience well.

Major objections (2)

[Section 3.4.4] The identification of the Type I ED-string contribution with the heterotic non-degenerate orbit is the load-bearing step of Lecture 3, and it is compressed into a single sentence: 'Only (l)m-twisted sectors (with ml = k and Z_sl projection) with exactly four fermionic zero modes of S_a contribute. So, we can fold the k copies of fields and form a single field on a worldsheet with the following Kahler and complex structures: T(M) = k T(M_k), U(M) = m U(M_k) + s_l ... This is in perfect agreement with the heterotic result I_ndeg.' The symbols k, l, m and s appear here without definition, and the agreement is exhibited only at the level of the modular parameters T(M) and U(M), not at the level of the four-fermion zero-mode measure or the degeneracy of the twisted sectors. For a pedagogical text this is the one place where the reader is asked to accept the conclusion rather than follow it. Please either display the zero-mode counting that fixes the measure, or state explicitly that the derivation is that of Ref. [46] (and the Hecke-transform statement of Ref. [44]) and that the present text is summarising it. A related point: two sentences later the text notes that fractional ED-strings wrapping the sixteen collapsed rigid 2-cycles 'may contribute to amplitudes having also perturbative contributions'. Since the 'perfect agreement' claim immediately precedes this caveat, the two should be reconciled in the text, at minimum by saying whether the fractional contributions are absent for the four-distinct-fixed-point amplitude or merely not evaluated here.
[Sections 2.5.2 and 2.5.3] Both superpotential computations end with an undetermined overall constant: 'up to a non vanishing numerical constant' in Section 2.5.2 and 'up to a non-zero numerical constant' in Section 2.5.3, with the final results written as W = Lambda^9 / det(...). The physical claim that these instantons generate a Viehweg-Yau-AdS-like superpotential requires that this constant be nonzero, and the text asserts non-vanishing without indicating whether it is established in Ref. [27] or assumed. Because a vanishing prefactor would remove the effect entirely, please state the status of the constant explicitly, and if it is computed in the cited work, say so at the point where it enters rather than leaving the reader to infer it.

Minor objections (8)

[Section 3.5] The summary of the paper's own worked example mislabels the orbifold: it says 'a compactification to D = 6 on T^6/Z_2', whereas Lecture 3 and the abstract both treat T^4/Z_2 to D = 6 (T^6/Z_2 would give D = 4). The following bullet has the same problem in 'freely acting orbifolds T^6/Z_2 x Z_2', and 'were computing by similar means' should read 'were computed by similar means'. Since this is the take-away summary of the central example, the label should be corrected.
[Abstract] The abstract refers to 'penta-brane instantons'; presumably 'five-brane' or 'NS5-brane' is meant. The term does not recur in the body, where the discussion is of Euclidean NS5-branes.
[Section 2.5.2] The chain 'det(phi-bar^{u,Ia}) det(phi-bar^{u,Ia} phi^{v,Ia}) = 1/det(phi^{v,Ia})' is schematic in a way that obscures the index contractions: u runs over the Sp(6) index and I,a over the flavour and U(2) indices, and the two determinants have different index sets. Please spell out the contraction structure, since the inverse determinant is the punchline of the paragraph.
[Section 1.3.1] The displayed expression for I_d[Phi] appears garbled in the typeset formula, with the exponential factor and the modulus-squared factor running together. Please check the formula against the source and re-typeset it.
[Section 3.4.2] 'Performing Poiss` on resummation' should read 'Performing Poisson resummation'. Several other typographical errors should be corrected throughout: 'ralative' (Section 3.4.2), 'degenarate' (Section 3.4.3), 'variuos' (Section 1.3.2), and the inconsistent use of 'Kahler' and 'Kaehler'.
[Notation, Sections 2.5.1 and 3.4.3] The symbol Lambda is used both for the dynamical scale Lambda^beta in the superpotential formulae of Section 2.5.1 and for the Chan-Paton matrices Lambda^u_f in the open-string vertex operators of Section 3.4.3. A different symbol for one of the two would help the reader.
[Section 2.4] The local orbifold is written as 'T^d/Gamma approximately R^d/Gamma' with d left free, while the surrounding discussion and the worked example fix the dimension. Please state the dimension once and use it consistently.
[References] Several entries in the reference list have lost author names or merged two references into one; Ref. [1] in particular reads as a concatenation of three separate items with the author of the second dropped. The list should be checked against the published versions before the notes are circulated further.

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The paper

The paper claims

Lecture notes survey unoriented D-brane instantons and argue that a four-hyperini coupling on T4/Z2 matches between heterotic worldsheet instantons and Type I D-string instantons.

The reading

String theory contains non-perturbative effects that arise when a brane wraps a hidden cycle in the compact dimensions. In unoriented string theories these effects come in two broad types. A gauge instanton is a Euclidean brane sitting on the same cycle as a stack of background branes, so it behaves like an ordinary Yang-Mills instanton. An exotic instanton sits on a cycle with no background stack and can generate couplings that have no field-theory analogue. The notes review the zero-mode counting that decides whether such an instanton produces a superpotential or a higher-derivative term. The worked example is a six-dimensional compactification on T4/Z2. Four hyperini placed at four different fixed points have no perturbative coupling, because twisted fields at different fixed points do not talk to each other. The paper sketches how heterotic worldsheet instantons generate the coupling and how the same result appears in the Type I description from Euclidean D-strings wrapping a two-cycle through the fixed points. The Type I side is interpreted as a sum over multiple D-string instantons. The authors argue that the two descriptions agree after the heterotic and Type I parameters are mapped by duality. The paper is lecture notes, not a new theorem. Its value is the structured tour and the case study, not a new measurement or a new fundamental object.

Extended reading notes

Core claim

The four-hyperini amplitude on T4/Z2, absent perturbatively when the hyperini sit at four different fixed points, is generated by heterotic worldsheet instantons and matches the Type I contribution from Euclidean D-string instantons, providing a check of unoriented multi-instanton calculus.

Load-bearing premise

The matching uses Heterotic/Type I duality to infer the Type I ED-string instanton sum from the heterotic worldsheet instanton result, assuming the relevant ED-string zero-mode measure and multi-instanton sum are captured by the symmetric orbifold CFT without extra contributions. This premise enters in Section 3.4.4: 'Using by now the well established Heterotic / Type I duality we will deduce the exact 4-hyperini amplitude and determine ED-string corrections.'

Original abstract

In the first lecture, we discuss basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons, which is our main focus here, and threshold corrections to BPS-saturated couplings. The second lecture is devoted to non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. In the third lecture we discuss the interplay between worldsheet and D-string instantons on $T^4/Z_2$. We focus on a 4-fermi amplitude, give Heterotic and perturbative Type I descriptions, and offer a multi D-string instanton interpretation. We conclude with possible interesting developments.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,303 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.18 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

In the first lecture, we discuss basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons, which is our main focus here, and threshold corrections to BPS-saturated couplings. The second lecture is devoted to non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. In the third lecture we discuss the interplay between worldsheet and D-string instantons on $T^4/Z_2$. We focus on a 4-fermi amplitude, give Heterotic and perturbative Type I descriptions, and offer a multi D-string instanton interpretation. We conclude with possible interesting developments.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In the first lecture, we discuss basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons, which is our main focus here, and threshold corrections to BPS-saturated couplings.	contribution 0.51	0.39	0.05	asserted 0.86
s1	The second lecture is devoted to non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities.	contribution 0.94	0.40	0.05	asserted 0.95
s2	In the third lecture we discuss the interplay between worldsheet and D-string instantons on $T^4/Z_2$.	contribution 0.95	0.54	0.03	asserted 0.84
s3	We focus on a 4-fermi amplitude, give Heterotic and perturbative Type I descriptions, and offer a multi D-string instanton interpretation.	contribution 0.89	0.72	0.09	asserted 0.91
s4	We conclude with possible interesting developments.	future work 1.00	0.20	0.11	hedged possibility 0.62

What kind of paper the classifier reports this is: review 0.92 · evidence from proof or derivation 0.47.

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sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

References

Works cited (45)

[46]

E.Gava, J.F.Morales, K.S.Narain, G.Thompson, ”Bound States of T ype I D-Strings”, Nucl.Phys. B 528 (95) 1998, arXiv:hep-th/9801128; Massimo Bianchi, ”Type I Superstrings without D-branes”, arXiv:he p-th/9702098; C. Bachas, ”(Half) a Lecture on D-branes”, arXiv:hep-th/97010 19

View on Pith Pith review arXiv 1998
[44]

E. Kiritsis, N.A. Obers, B. Pioline, ”Heterotic/Type II Triality and Instantons on K3”, JHEP 0001 (029) 2000, arXiv:hep-th/0001083; P. Mayr, S. Stieberger, ”Threshold Corrections to Gauge Coupling s in Orbifold Com- pactiﬁcations”, Nucl. Phys. B 407 (725) 1993, arXiv:hep-th/9303017

View on Pith Pith review arXiv 2000
[27]

M. Bianchi, F. Fucito, J. F. Morales, ”D-brane Instantons on t heT 6/Z3 orientifold”, JHEP0707 (038) 2007, arxiv:hep-th/0704.0784

View on Pith Pith review arXiv 2007
[1]

M. Frau and A. Lerda, Fortsch. Phys. 52, 606 (2004) [arXiv:hep-th/0401062]. A. M. Uranga, JHEP 0901, 048 (2009) [arXiv:0808.2918 [hep-th]]. Instantons in Type II String Theory”, Invited review to appear in Annu.Rev.Nuc.Pa rt.Sci (59) 2009, arXiv:0902.3251; M. Cvetic, “D-brane Instantons”, Lectu res delivered at the School “New Perspectives in String Theor...

View on Pith Pith review arXiv 2004
[2]

E. Kiritsis, Princeton, USA: Univ. Pr. (2007) 588 p K. Becker, M. Becker and J. H. Schwarz, Cambridge, UK: Cambridge Univ. Pr. (2007) 739 p

View on Pith 2007
[3]

M. Atiyah, V. Drinfeld, N. Hitchin and Yu. Manin, ” Construction of Instantons”, Phys. Lett. A 65 (185) 1978

View on Pith 1978
[4]

M. Bianchi, S. Kovacs, G. Rossi, ”Instantons and Supersymmet ry” Lect.NotesPhys. 737 (303) 2008, arXiv:hep- th/0703142

View on Pith 2008
[5]

M. R. Douglas, ”Branes within Branes ” arXiv:hep-th/9512077. E . Witten, Nucl. Phys. B 460, 335 (1996) [arXiv:hep-th/9510135]. 26

View on Pith Pith review arXiv 1996
[6]

M. Dine, N. Seiberg, X. G. Wen and E. Witten, ”Non-perturbative eﬀects on the string world-sheet”, Nucl. Phys. B 278, (769) 1986; M. Dine, N. Seiberg, X. G. Wen and E. Witten, ”Non-perturbative eﬀ ects on the string world-sheet. 2”, Nucl. Phys. B 289, (319) 1987

View on Pith 1986
[7]

A. Sen, arXiv:hep-th/9802051. E. Kiritsis, arXiv:hep-th/99060 18

View on Pith Pith review arXiv
[8]

L. J Dixon, V. Kaplunovski and J. Louis, ”Moduli dependence of s tring loop correc- tions to gauge coupling constants”, Nucl. Phys. B 355, (649) 1991; I. Antoniadis, E. Gava and K. S. Narain, ”Moduli corrections to gau ge and gravi- tational couplings in four-dimensioanl superstrings”, Nucl. Phys. B 383 (93) 1992, arxiv:hep-th/9204030; E. Kiritsis and C. ...

View on Pith Pith review arXiv 1995
[9]

K. Becker, M. Becker and A. Strominger, ”Five-branes, membr anes and nonpertur- bative string theory”, Nucl. Phys. B 456, (130) 1995, arxiv:hep-th/9507158

View on Pith Pith review arXiv 1995
[10]

M. Billo, M. Frau, I. Pesando, F. Fucito, A. Lerda and A. Liccard o, ”Classical gauge instantons from open strings”, JHEP 0302, (045) 2003, arxiv:hep-th/0211250; M.Billo, M. Frau, F. Fucito and A. Lerda, ”Instanton calculus in R-R ba ckground and the topological string”, JHEP 0611, (012) 2006, arxiv:hep-th/0606013

View on Pith Pith review arXiv 2003
[11]

N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis and S. Vandore n, ” Multi- Instanton Calculus and the AdS/CFT Correspondence in N=4 Super conformal Field Theory”, Nucl. Phys. B 552 (88) 1999, arXiv:hep-th/9901128

View on Pith Pith review arXiv 1999
[13]

J. Polchinski, E. Witten, ”Evidence for Heterotic - Type I String Duality”, Nucl. Phys. B 460 (525) 1996, arXiv:hep- th/9510169

View on Pith 1996
[14]

L. J. Dixon, V. Kaplunovsky, J. Louis, ”On Eﬀective Field Theorie s Describing (2,2) Vacua of the Heterotic String”, Apr 1989, Nucl. Phys. B 329 (27) 1990; 27 C. Bachas, C. Fabre, E. Kiritsis, N. A. Obers, P. Vanhove, ”Heter otic / Type I duality and D-brane instantons”, Nucl. Phys. B 509, (33) 1998, arXiv:hep-th/9707126; W. Lerche, S. Stieberger, ”1/4 BP...

View on Pith Pith review arXiv 1989
[15]

M. Bianchi, E. Gava, J. F. Morales, K. S. Narain, ”D-strings in un conventional type I vacuum conﬁgurations”, Nucl.Phys. B 547 (96) 1999, arXiv:hep-th/9811013

View on Pith Pith review arXiv 1999
[16]

M. Gutperle, ”A note on heterotic/type I’ duality and D0 brane quantum mechanics”, JHEP 9905 (007) 1999, arXiv:hep-th/9903010

View on Pith Pith review arXiv 1999
[17]

K. Foerger, S. Stieberger, ”Higher Derivative Couplings and He terotic-Type I Duality in Eight Dimensions”, Nucl.Phys. B 559 (277) 1999, arXiv:hep-th/9901020

View on Pith Pith review arXiv 1999
[18]

M. Billo’, L. Ferro, M. Frau, L. Gallot, A. Lerda, I. Pesando, ”Ex otic instanton counting and heterotic/type I’ duality”, JHEP 0907 (092) 2009, arXiv:0905.4586

View on Pith Pith review arXiv 2009
[19]

F. Fucito, J. F. Morales, R. Poghossian, ”Exotic prepotentials from D(-1)D7 dynam- ics”, arXiv:0906.3802

View on Pith Pith review arXiv
[20]

I. Antoniadis, C. Bachas, E. Dudas, ”Gauge couplings in four-d imensional Type I string orbifolds”, Nucl.Phys. B 560 (93) 1999, arXiv:hep-th/9906039. I. Antoniadis, C. Bachas, C. Fabre, H. Partouche, T.R. Taylor, ”A spects of Type I - Type II - Heterotic Triality in Four Dimensions”, Nucl.Phys. B 489 (160) 1997, arXiv:hep-th/9608012

View on Pith Pith review arXiv 1999
[21]

R. Blumenhagen, M. Cvetic and T. Weigand, ”Spacetime instanto n corrections in 4D string vacua - the seesaw mechanism for D-brane models”, Nucl. Ph ys .B 771 (113) 2007, arxiv:hep-th/0609191; M. Haack, D. Kreﬂ, D. Lust, A. Van Proeyen and M. Zagermann, ”G augino conden- sates and D-terms from D7-branes”, JHEP 0701 (078) 2007, arxiv:hep-th/0609211; L. E. I...

View on Pith Pith review arXiv 2007
[22]

E. Silverstein and E. Witten, ”Criteria for conformal invariance of (0,2) models”, Nucl. Phys. B 444, (161) 1995, arxiv:hep-th/9503212

View on Pith Pith review arXiv 1995
[23]

C. Beasley and E, Witten, ”New instanton eﬀects in string theor y”, JHEP 0602 (060) 2006, arxiv:hep-th/0512039. 28

View on Pith Pith review arXiv 2006
[24]

D. S. Freed and E. Witten, ”Anomalies in string theory with D-bra nes”, arxiv:hep-th/9907189

View on Pith Pith review arXiv
[25]

A. K. Kashani-Poor and A. Tomasiello, ”A stringy test of ﬂux-ind uced isometry gauging”, Nucl. Phys. B 728, (135) 2005, arxiv:hep-th/0505208

View on Pith Pith review arXiv 2005
[26]

M. Billo’, L. Ferro, M. Frau, F. Fucito, A. Lerda, J. F. Morales, ” Flux interactions on D-branes and instantons”, JHEP 0810 (112) 2008, arXiv:0807.1666

View on Pith Pith review arXiv 2008
[28]

M. Bianchi, J. F. Morales, ”Anomalies and Tadpoles”, JHEP 0003 (030) 2000, arXiv:hep-th/0002149

View on Pith Pith review arXiv 2000
[29]

G. Aldazabal, D. Badagnani, L.E. Ibanez, A.M. Uranga, ”Tadpole versus anomaly cancellation in D=4,6 compact IIB orientifolds” JHEP 9906 (031) 1999, arXiv:hep-th/9904071

View on Pith Pith review arXiv 1999
[30]

P. Anastasopoulos, F. Fucito, A. Lionetto, G. Pradisi, A. Racio ppi, Y. S. Stanev, ”Minimal Anomalous U(1)’ Extension of the MSSM”, Phys.Rev. D78, (085014) 2008, arXiv:0804.1156 , F. Fucito, A. Lionetto, A. Mammarella, A. Racioppi, ”Axino Dark Matt er in Anoma- lous U(1)’ Models”, arXiv:0811.1953

View on Pith Pith review arXiv 2008
[31]

A. Dabholkar, ”Ten Dimensional Heterotic String as a Soliton”, P hys. Lett. B 357 (307) 1995, arXiv:hep-th/9506160; C. M. Hull, ”String-String Duality in Ten Dimensions”, Phys. Lett. B 357 (545) 1995, arXiv:hep-th/9506194

View on Pith Pith review arXiv 1995
[32]

E. Witten, ”String Theory Dynamics In Various Dimensions”, Nuc l. Phys. B 443 (85) 1995, arXiv:hep-th/9503124

View on Pith Pith review arXiv 1995
[33]

C. Angelantonj, M. Bianchi, G. Pradisi, A. Sagnotti, Y. Stanev, ”Chiral Asym- metry in Four-Dimensional Open-String Vacua”, Phys. Lett. B 385 (96) 1996, arXiv:hep-th/9606169

View on Pith Pith review arXiv 1996
[34]

I. Antoniadis, C. Bachas, C. Fabre, H. Partouche, T.R. Taylor , ”Aspects of Type I - Type II - Heterotic Triality in Four Dimensions” Nucl. Phys. B 489 (160) 1997, arXiv:hep-th/9608012 . 29

View on Pith Pith review arXiv 1997
[36]

M. Bianchi, A. Sagnotti, ”Twist symmetry and open string Wilson lin es”, Nucl. Phys. B 361 519 (1991), ”On the systematics of open string theories”, Phys. Lett. B 247 (517) 1990; E. G. Gimon, J. Polchinski, ”Consistency Conditions for Orientifolds a nd D- Manifolds”, Phys. Rev. D 54 (1667) 1996, arXiv:hep-th/9601038

View on Pith Pith review arXiv 1991
[37]

A. Dabholkar, J. Park, ”Strings on Orientifolds”, Nucl. Phys. B 477 (701) 1996, arXiv:hep-th/9604178 and ”An Orientifold of Type-IIB Theory on K3”, Nucl. Phys. B 472 207 (1996), arXiv:hep-th/9602030. E. G. Gimon, C. V. Johnson, ” K3 Orientifolds”, Nucl. Phys. B 477 (715) 1996, arXiv:hep-th/9604129

View on Pith Pith review arXiv 1996
[38]

M. J. Duﬀ, ”Strong/Weak Coupling Duality from the Dual String” , Nucl. Phys. B 442 (47) 1995, arXiv:hep-th/9501030

View on Pith Pith review arXiv 1995
[39]

M. Bianchi, G. Pradisi, A. Sagnotti, ”Toroidal compactiﬁcation a nd symmetry break- ing in open string theories”, Nucl. Phys. B 376 (365) 1992; Z. Kakushadze, ”Aspects of N=1 Type I-Heterotic Duality in Four D imensions”, Nucl. Phys. B 512 (221) 1998, arXiv:hep-th/9704059; M. Bianchi,”A Note on Toroidal Compactiﬁcations of the Type I Super string and Othe...

View on Pith Pith review arXiv 1992
[40]

M. Berkooz, R. G. Leigh, J. Polchinski, J. H. Schwarz, N. Seiber g, E. Witten, ”Anomalies, Dualities, and Topology of D=6 N=1 Superstring Vacua”, Nucl. Phys. B 475 (115) 1996, arXiv:hep-th/9605184

View on Pith Pith review arXiv 1996
[41]

M. B. Green, J. H. Schwarz and P. C. West, ”Anomaly Free Chira l Theories in Six-Dimensions”, Nucl. Phys. B 254 (327) 1985; A. Sagnotti, ”A Note on the Green - Schwarz Mechanism in Open - Str ing Theories”, Phys. Lett. B 294 (196) 1992, arXiv:hep-th/9210127. 30

View on Pith Pith review arXiv 1985
[42]

P. Anastasopoulos, ”Anomalous U(1)s masses in non-supersy mmetric open string vacua”, Phys. Lett. B 588 (119) 2004, arXiv:hep-th/0402105; P. Anastasopoulos, M. Bianchi, E. Dudas, E. Kiritsis, ”Anomalies, An oma- lous U(1)’s and generalized Chern-Simons terms”, JHEP 0611 (057) 2006, arXiv:hep-th/0605225

View on Pith Pith review arXiv 2004
[43]

L. J. Dixon, D. Friedan, E. J. Martinec, S. H. Shenker, ” The Co nformal Field Theory of Orbifolds”, Nucl. Phys. B 282 (13) 1987

View on Pith 1987
[45]

M. Cvetic, I. Papadimitriou, ”Conformal Field Theory Couplings f or Intersecting D- branes on Orientifolds”, Phys. Rev. D 68 (046001) 2003; Erratum-ibid. D70 (2004) 029903, arXiv:hep-th/0303083; I. R. Klebanov and E. Witten, ”Proton Decay in Intersecting D-bra ne Models”, Nucl. Phys. B 664 (3) 2003, arXiv:hep- th/0304079

View on Pith Pith review arXiv 2004
[47]

M. Bianchi, F. Fucito, J. F. Morales, ”Dynamical supersymmetr y breaking from unoriented D-brane instantons”, JHEP 0908 (040) 2009, arXiv:0904.2156. 31

View on Pith Pith review arXiv 2009

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Exploring soft constraints on effective actions
hep-th 2016-05 conditional novelty 6.0 of 10

Soft theorems for simultaneously broken spacetime and internal symmetries determine the dilaton effective action up to ten derivatives in maximally supersymmetric theories.
Topological duality twist and brane instantons in F-theory
hep-th 2014-03 conditional novelty 6.0 of 10

A new topological duality twist constructs supersymmetric U(1) N=4 Yang-Mills on Kähler spaces with holomorphically varying coupling, incorporating duality walls and chiral defects, with application to F-theory brane ...
Magnetized E3-brane instantons in F-theory
hep-th 2011-07 conditional novelty 6.0 of 10

World-volume fluxes on E3-brane instantons can lift fermionic zero modes and let non-rigid divisors contribute to the non-perturbative superpotential, demonstrated explicitly on a P^3 orientifold.
String instanton in AdS(4)xCP(3)
hep-th 2009-11 conditional novelty 5.0 of 10

The string instanton wrapping a CP1 two-cycle in AdS4 x CP3 has exactly twelve fermionic zero modes, half of the background's 24 supersymmetries, making it 1/2 BPS.

How the literature uses it

35 arXiv papers cite this in 38 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 17 sentences without a confident label

Cites it as background 19 papers

Recently, it has been realized that D-instantons carry charge under these global $U(1)$'s [ref] (for recent reviews, see [ref] ).

SU(5) D-brane realizations, Yukawa couplings and proton stability · Introduction · 0.80
We will also discuss D-brane instanton corrections of both kinds, `gauge' and `exotic', related to instantons sitting in an occupied or an empty node of the quiver, respectively [ref] .

Unoriented Quivers with Flavour · Introduction · 0.89
The microscopic mechanism generating Eq.([ref]) is displayed in Fig.1 (see Ref. [ref] for a complete review on these aspects).

Weak Gravity Conjecture as a Razor Criterium for Exotic D-brane instantons · Theoretical preliminaries · 0.95

What it cites · 46 sentences without a confident label

Cites as background 11 papers

The prototype is the D3, D(-1) system [ref] that has 4 N-D directions.

Classical gauge instantons from open strings · Unoriented D-brane instantons · 0.80
The multi-(instanton) configuration of this system was first analyzed in [ref] .

Heterotic / type I duality and D-brane instantons · Vertex operators for 'stringy' instantons · 0.84
Heterotic and Type I string theories with gauge group $SO(32)$, were conjectured in [ref] , to be equivalent.

Ten Dimensional Heterotic String as a Soliton · Heterotic-Type I duality in $D≤10$ · 0.82

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

[1] [46]

E.Gava, J.F.Morales, K.S.Narain, G.Thompson, ”Bound States of T ype I D-Strings”, Nucl.Phys. B 528 (95) 1998, arXiv:hep-th/9801128; Massimo Bianchi, ”Type I Superstrings without D-branes”, arXiv:he p-th/9702098; C. Bachas, ”(Half) a Lecture on D-branes”, arXiv:hep-th/97010 19

View on Pith Pith review arXiv 1998

[2] [44]

E. Kiritsis, N.A. Obers, B. Pioline, ”Heterotic/Type II Triality and Instantons on K3”, JHEP 0001 (029) 2000, arXiv:hep-th/0001083; P. Mayr, S. Stieberger, ”Threshold Corrections to Gauge Coupling s in Orbifold Com- pactiﬁcations”, Nucl. Phys. B 407 (725) 1993, arXiv:hep-th/9303017

View on Pith Pith review arXiv 2000

[3] [27]

M. Bianchi, F. Fucito, J. F. Morales, ”D-brane Instantons on t heT 6/Z3 orientifold”, JHEP0707 (038) 2007, arxiv:hep-th/0704.0784

View on Pith Pith review arXiv 2007

[4] [1]

M. Frau and A. Lerda, Fortsch. Phys. 52, 606 (2004) [arXiv:hep-th/0401062]. A. M. Uranga, JHEP 0901, 048 (2009) [arXiv:0808.2918 [hep-th]]. Instantons in Type II String Theory”, Invited review to appear in Annu.Rev.Nuc.Pa rt.Sci (59) 2009, arXiv:0902.3251; M. Cvetic, “D-brane Instantons”, Lectu res delivered at the School “New Perspectives in String Theor...

View on Pith Pith review arXiv 2004

[5] [2]

E. Kiritsis, Princeton, USA: Univ. Pr. (2007) 588 p K. Becker, M. Becker and J. H. Schwarz, Cambridge, UK: Cambridge Univ. Pr. (2007) 739 p

View on Pith 2007

[6] [3]

M. Atiyah, V. Drinfeld, N. Hitchin and Yu. Manin, ” Construction of Instantons”, Phys. Lett. A 65 (185) 1978

View on Pith 1978

[7] [4]

M. Bianchi, S. Kovacs, G. Rossi, ”Instantons and Supersymmet ry” Lect.NotesPhys. 737 (303) 2008, arXiv:hep- th/0703142

View on Pith 2008

[8] [5]

M. R. Douglas, ”Branes within Branes ” arXiv:hep-th/9512077. E . Witten, Nucl. Phys. B 460, 335 (1996) [arXiv:hep-th/9510135]. 26

View on Pith Pith review arXiv 1996

[9] [6]

M. Dine, N. Seiberg, X. G. Wen and E. Witten, ”Non-perturbative eﬀects on the string world-sheet”, Nucl. Phys. B 278, (769) 1986; M. Dine, N. Seiberg, X. G. Wen and E. Witten, ”Non-perturbative eﬀ ects on the string world-sheet. 2”, Nucl. Phys. B 289, (319) 1987

View on Pith 1986

[10] [7]

A. Sen, arXiv:hep-th/9802051. E. Kiritsis, arXiv:hep-th/99060 18

View on Pith Pith review arXiv

[11] [8]

L. J Dixon, V. Kaplunovski and J. Louis, ”Moduli dependence of s tring loop correc- tions to gauge coupling constants”, Nucl. Phys. B 355, (649) 1991; I. Antoniadis, E. Gava and K. S. Narain, ”Moduli corrections to gau ge and gravi- tational couplings in four-dimensioanl superstrings”, Nucl. Phys. B 383 (93) 1992, arxiv:hep-th/9204030; E. Kiritsis and C. ...

View on Pith Pith review arXiv 1995

[12] [9]

K. Becker, M. Becker and A. Strominger, ”Five-branes, membr anes and nonpertur- bative string theory”, Nucl. Phys. B 456, (130) 1995, arxiv:hep-th/9507158

View on Pith Pith review arXiv 1995

[13] [10]

M. Billo, M. Frau, I. Pesando, F. Fucito, A. Lerda and A. Liccard o, ”Classical gauge instantons from open strings”, JHEP 0302, (045) 2003, arxiv:hep-th/0211250; M.Billo, M. Frau, F. Fucito and A. Lerda, ”Instanton calculus in R-R ba ckground and the topological string”, JHEP 0611, (012) 2006, arxiv:hep-th/0606013

View on Pith Pith review arXiv 2003

[14] [11]

N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis and S. Vandore n, ” Multi- Instanton Calculus and the AdS/CFT Correspondence in N=4 Super conformal Field Theory”, Nucl. Phys. B 552 (88) 1999, arXiv:hep-th/9901128

View on Pith Pith review arXiv 1999

[15] [13]

J. Polchinski, E. Witten, ”Evidence for Heterotic - Type I String Duality”, Nucl. Phys. B 460 (525) 1996, arXiv:hep- th/9510169

View on Pith 1996

[16] [14]

L. J. Dixon, V. Kaplunovsky, J. Louis, ”On Eﬀective Field Theorie s Describing (2,2) Vacua of the Heterotic String”, Apr 1989, Nucl. Phys. B 329 (27) 1990; 27 C. Bachas, C. Fabre, E. Kiritsis, N. A. Obers, P. Vanhove, ”Heter otic / Type I duality and D-brane instantons”, Nucl. Phys. B 509, (33) 1998, arXiv:hep-th/9707126; W. Lerche, S. Stieberger, ”1/4 BP...

View on Pith Pith review arXiv 1989

[17] [15]

M. Bianchi, E. Gava, J. F. Morales, K. S. Narain, ”D-strings in un conventional type I vacuum conﬁgurations”, Nucl.Phys. B 547 (96) 1999, arXiv:hep-th/9811013

View on Pith Pith review arXiv 1999

[18] [16]

M. Gutperle, ”A note on heterotic/type I’ duality and D0 brane quantum mechanics”, JHEP 9905 (007) 1999, arXiv:hep-th/9903010

View on Pith Pith review arXiv 1999

[19] [17]

K. Foerger, S. Stieberger, ”Higher Derivative Couplings and He terotic-Type I Duality in Eight Dimensions”, Nucl.Phys. B 559 (277) 1999, arXiv:hep-th/9901020

View on Pith Pith review arXiv 1999

[20] [18]

M. Billo’, L. Ferro, M. Frau, L. Gallot, A. Lerda, I. Pesando, ”Ex otic instanton counting and heterotic/type I’ duality”, JHEP 0907 (092) 2009, arXiv:0905.4586

View on Pith Pith review arXiv 2009

[21] [19]

F. Fucito, J. F. Morales, R. Poghossian, ”Exotic prepotentials from D(-1)D7 dynam- ics”, arXiv:0906.3802

View on Pith Pith review arXiv

[22] [20]

I. Antoniadis, C. Bachas, E. Dudas, ”Gauge couplings in four-d imensional Type I string orbifolds”, Nucl.Phys. B 560 (93) 1999, arXiv:hep-th/9906039. I. Antoniadis, C. Bachas, C. Fabre, H. Partouche, T.R. Taylor, ”A spects of Type I - Type II - Heterotic Triality in Four Dimensions”, Nucl.Phys. B 489 (160) 1997, arXiv:hep-th/9608012

View on Pith Pith review arXiv 1999

[23] [21]

R. Blumenhagen, M. Cvetic and T. Weigand, ”Spacetime instanto n corrections in 4D string vacua - the seesaw mechanism for D-brane models”, Nucl. Ph ys .B 771 (113) 2007, arxiv:hep-th/0609191; M. Haack, D. Kreﬂ, D. Lust, A. Van Proeyen and M. Zagermann, ”G augino conden- sates and D-terms from D7-branes”, JHEP 0701 (078) 2007, arxiv:hep-th/0609211; L. E. I...

View on Pith Pith review arXiv 2007

[24] [22]

E. Silverstein and E. Witten, ”Criteria for conformal invariance of (0,2) models”, Nucl. Phys. B 444, (161) 1995, arxiv:hep-th/9503212

View on Pith Pith review arXiv 1995

[25] [23]

C. Beasley and E, Witten, ”New instanton eﬀects in string theor y”, JHEP 0602 (060) 2006, arxiv:hep-th/0512039. 28

View on Pith Pith review arXiv 2006

[26] [24]

D. S. Freed and E. Witten, ”Anomalies in string theory with D-bra nes”, arxiv:hep-th/9907189

View on Pith Pith review arXiv

[27] [25]

A. K. Kashani-Poor and A. Tomasiello, ”A stringy test of ﬂux-ind uced isometry gauging”, Nucl. Phys. B 728, (135) 2005, arxiv:hep-th/0505208

View on Pith Pith review arXiv 2005

[28] [26]

M. Billo’, L. Ferro, M. Frau, F. Fucito, A. Lerda, J. F. Morales, ” Flux interactions on D-branes and instantons”, JHEP 0810 (112) 2008, arXiv:0807.1666

View on Pith Pith review arXiv 2008

[29] [28]

M. Bianchi, J. F. Morales, ”Anomalies and Tadpoles”, JHEP 0003 (030) 2000, arXiv:hep-th/0002149

View on Pith Pith review arXiv 2000

[30] [29]

G. Aldazabal, D. Badagnani, L.E. Ibanez, A.M. Uranga, ”Tadpole versus anomaly cancellation in D=4,6 compact IIB orientifolds” JHEP 9906 (031) 1999, arXiv:hep-th/9904071

View on Pith Pith review arXiv 1999

[31] [30]

P. Anastasopoulos, F. Fucito, A. Lionetto, G. Pradisi, A. Racio ppi, Y. S. Stanev, ”Minimal Anomalous U(1)’ Extension of the MSSM”, Phys.Rev. D78, (085014) 2008, arXiv:0804.1156 , F. Fucito, A. Lionetto, A. Mammarella, A. Racioppi, ”Axino Dark Matt er in Anoma- lous U(1)’ Models”, arXiv:0811.1953

View on Pith Pith review arXiv 2008

[32] [31]

A. Dabholkar, ”Ten Dimensional Heterotic String as a Soliton”, P hys. Lett. B 357 (307) 1995, arXiv:hep-th/9506160; C. M. Hull, ”String-String Duality in Ten Dimensions”, Phys. Lett. B 357 (545) 1995, arXiv:hep-th/9506194

View on Pith Pith review arXiv 1995

[33] [32]

E. Witten, ”String Theory Dynamics In Various Dimensions”, Nuc l. Phys. B 443 (85) 1995, arXiv:hep-th/9503124

View on Pith Pith review arXiv 1995

[34] [33]

C. Angelantonj, M. Bianchi, G. Pradisi, A. Sagnotti, Y. Stanev, ”Chiral Asym- metry in Four-Dimensional Open-String Vacua”, Phys. Lett. B 385 (96) 1996, arXiv:hep-th/9606169

View on Pith Pith review arXiv 1996

[35] [34]

I. Antoniadis, C. Bachas, C. Fabre, H. Partouche, T.R. Taylor , ”Aspects of Type I - Type II - Heterotic Triality in Four Dimensions” Nucl. Phys. B 489 (160) 1997, arXiv:hep-th/9608012 . 29

View on Pith Pith review arXiv 1997

[36] [36]

M. Bianchi, A. Sagnotti, ”Twist symmetry and open string Wilson lin es”, Nucl. Phys. B 361 519 (1991), ”On the systematics of open string theories”, Phys. Lett. B 247 (517) 1990; E. G. Gimon, J. Polchinski, ”Consistency Conditions for Orientifolds a nd D- Manifolds”, Phys. Rev. D 54 (1667) 1996, arXiv:hep-th/9601038

View on Pith Pith review arXiv 1991

[37] [37]

A. Dabholkar, J. Park, ”Strings on Orientifolds”, Nucl. Phys. B 477 (701) 1996, arXiv:hep-th/9604178 and ”An Orientifold of Type-IIB Theory on K3”, Nucl. Phys. B 472 207 (1996), arXiv:hep-th/9602030. E. G. Gimon, C. V. Johnson, ” K3 Orientifolds”, Nucl. Phys. B 477 (715) 1996, arXiv:hep-th/9604129

View on Pith Pith review arXiv 1996

[38] [38]

M. J. Duﬀ, ”Strong/Weak Coupling Duality from the Dual String” , Nucl. Phys. B 442 (47) 1995, arXiv:hep-th/9501030

View on Pith Pith review arXiv 1995

[39] [39]

M. Bianchi, G. Pradisi, A. Sagnotti, ”Toroidal compactiﬁcation a nd symmetry break- ing in open string theories”, Nucl. Phys. B 376 (365) 1992; Z. Kakushadze, ”Aspects of N=1 Type I-Heterotic Duality in Four D imensions”, Nucl. Phys. B 512 (221) 1998, arXiv:hep-th/9704059; M. Bianchi,”A Note on Toroidal Compactiﬁcations of the Type I Super string and Othe...

View on Pith Pith review arXiv 1992

[40] [40]

M. Berkooz, R. G. Leigh, J. Polchinski, J. H. Schwarz, N. Seiber g, E. Witten, ”Anomalies, Dualities, and Topology of D=6 N=1 Superstring Vacua”, Nucl. Phys. B 475 (115) 1996, arXiv:hep-th/9605184

View on Pith Pith review arXiv 1996

[41] [41]

M. B. Green, J. H. Schwarz and P. C. West, ”Anomaly Free Chira l Theories in Six-Dimensions”, Nucl. Phys. B 254 (327) 1985; A. Sagnotti, ”A Note on the Green - Schwarz Mechanism in Open - Str ing Theories”, Phys. Lett. B 294 (196) 1992, arXiv:hep-th/9210127. 30

View on Pith Pith review arXiv 1985

[42] [42]

P. Anastasopoulos, ”Anomalous U(1)s masses in non-supersy mmetric open string vacua”, Phys. Lett. B 588 (119) 2004, arXiv:hep-th/0402105; P. Anastasopoulos, M. Bianchi, E. Dudas, E. Kiritsis, ”Anomalies, An oma- lous U(1)’s and generalized Chern-Simons terms”, JHEP 0611 (057) 2006, arXiv:hep-th/0605225

View on Pith Pith review arXiv 2004

[43] [43]

L. J. Dixon, D. Friedan, E. J. Martinec, S. H. Shenker, ” The Co nformal Field Theory of Orbifolds”, Nucl. Phys. B 282 (13) 1987

View on Pith 1987

[44] [45]

M. Cvetic, I. Papadimitriou, ”Conformal Field Theory Couplings f or Intersecting D- branes on Orientifolds”, Phys. Rev. D 68 (046001) 2003; Erratum-ibid. D70 (2004) 029903, arXiv:hep-th/0303083; I. R. Klebanov and E. Witten, ”Proton Decay in Intersecting D-bra ne Models”, Nucl. Phys. B 664 (3) 2003, arXiv:hep- th/0304079

View on Pith Pith review arXiv 2004

[45] [47]

M. Bianchi, F. Fucito, J. F. Morales, ”Dynamical supersymmetr y breaking from unoriented D-brane instantons”, JHEP 0908 (040) 2009, arXiv:0904.2156. 31

View on Pith Pith review arXiv 2009