Open Strings from N=4 Super Yang-Mills

Asad Naqvi; Min-xin Huang; Thomas S. Levi; Vijay Balasubramanian

REVIEW

Open Strings from N=4 Super Yang-Mills

Vijay Balasubramanian, Min-xin Huang, Thomas S. Levi, Asad Naqvi

High Energy Physics - Theory · Submitted 23 Apr 2002 · 27 references

Pith's verdict: A real idea — open strings built from a string of Y fields inside a giant-graviton determinant — with a clean leading-order match and one acknowledged subleading gap.

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arXiv IDhep-th/0204196 (version 4)

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CitationAsad Naqvi, Min-xin Huang, Thomas S. Levi, Vijay Balasubramanian. "Open Strings from N=4 Super Yang-Mills." arXiv:hep-th/0204196 (2002). https://pith.science/paper/TFEHLRMM

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Editor's note

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The thing worth your time here is the operator construction. Take the maximal giant graviton, det Z, and replace one Z by a string of J Y fields with no trace over the open indices. That object is the open-string ground state on the giant, and the absence of the trace is what makes it an open worldsheet rather than a closed one. Inserting φ¹,² or gauginos into the string of Ys gives the zero modes, and inserting them with a cos(π n l / J) phase gives the higher oscillators. That is a genuinely new move relative to BMN [3] and to the defect/quark papers [5,6], and it is the part I would point people to. The leading-order check is solid: the four-point vertex g²_YM tr([Y,φ][Ȳ,φ]) reproduces ω_n = sqrt(1 + π g N n²/J_Y²) exactly as in the closed-string case, and the Sec. 2 matching against Das-Jevicki-Mathur for the giant's small fluctuations is clean and worth having on record. The G² counting for coincident giants is suggestive rather than derived, and the authors say so — when the branes coincide the off-diagonal operators collapse onto the diagonal ones by dummy-index relabelling, which they show explicitly and do not paper over. That is honest, and it is also the reason the multi-giant story stays a proposal. The one soft spot I would actually press on is the O(g_s) offset. The field-theory anomalous dimension comes out (J−1)g_s/π, the Dabholkar-Parvizi quantization gives something else, and the difference is attributed to an open-string one-loop effect that is never computed. The authors flag this twice, so it is not a hidden problem, but it does mean the abstract's 'reproduce the open string worldsheets and their spectra' is true at leading order in g N/J² and not at the order they themselves calculate. The Appendix leans on the D-term/gluon cancellation of Constable et al. [25], which is published and applies, so that step is supported rather than assumed; the F-term piece is sketched but the large-N scaling is internally coherent. I would not call the phase a circularity — the dimension computation is independent of how the phase was chosen. Send it out. It is a serious paper with a real idea and a clearly marked edge.

What would settle it

Compute the anomalous dimension of the determinant-with-$Y$-string operator in Eq. (27) beyond one loop, or at non-planar order, and find a contribution that grows with $N$; alternatively, carry out a first-principles one-loop open-string computation in the pp-wave background and find the Dabholkar-Parvizi spectrum with no $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-ex

Referee report

Significance

If correct, the result is significant: it shows that the large-N limit of N=4 SYM cannot be a closed-string theory alone, and it extends the BMN closed-string construction to open strings ending on giant gravitons. The leading-order match is an explicit, checkable computation rather than an argument from symmetry, and the operator construction (a determinant of Z's with an untraced chain of Y's) gives a concrete field-theory picture of an open-string worldsheet with Chan-Paton endpoints. The paper is also candid about the O(g_s) discrepancy with the Dabholkar-Parvizi spectrum. The half-phase cos(pi n l/J_Y) in Eq. (30) is not an ad hoc fit: it is the correct open-string mode expansion on a worldsheet of half the closed-string period, and the one-loop computation of Eq. (35) is an independent check of it.

Major objections (4)

[Appendix, Eqs. (41)-(49)] The appendix computes the one-loop anomalous dimension of the ground-state operator (36) by keeping only the F-term potential and invoking the D-term/gluon cancellation established in Appendix B of Ref. [25]. That cancellation is derived there for BMN-type operators with a small number of Z insertions, whereas the operator here contains N-1 Z's; the paper itself notes in Sec. 3.2 that for operators of dimension comparable to N, non-planar diagrams are not suppressed. The applicability of the [25] cancellation to this large-charge operator is therefore not automatic, and since the N-independence of the anomalous dimension is the load-bearing claim for the whole identification, the authors should either justify that the cancellation persists for (36) or compute the D-term and gluon-exchange contributions directly for this operator.
[Sec. 3.2, Eq. (49) and Abstract] The paper computes (J-1)g_s/pi for the ground-state operator (Eq. 49) and observes that this differs from the Dabholkar-Parvizi spectrum quoted in Eqs. (14)-(21), attributing the difference to 'a one-loop open string effect that was not considered in [8]' (Sec. 3.2, and again after Eq. 35). No string-side computation is presented, and neither the sign nor the coefficient of the proposed correction is checked. Since the abstract claims to reproduce 'the open string worldsheets and their spectra,' the claim should be qualified to leading order in g N/J_Y^2, and at minimum a parametric check of the proposed loop correction (its scaling in g_s and J, and its sign) should be given.
[Sec. 2, Eqs. (7)-(8) and Abstract] The discussion of G coincident giants in Sec. 2 establishes that candidate operators with the right index structure exist, but the paper's own analysis shows that at coincident points O^{11} = N O^{12}, so the G^2 operators are not independent and the counting is recovered only by point-splitting the determinants. The abstract's statement that 'the expected G^2 light degrees of freedom emerge' is stronger than this; the body is appropriately hedged ('it appears'), and the authors themselves propose the concrete test of matching strings stretched between a maximal and a next-to-maximal giant, which is not carried out. The abstract should be brought into line with what Sec. 2 actually shows.
[Sec. 3.2, Eqs. (31)-(32)] The explicit one-loop match between field theory and the pp-wave spectrum is carried out only for the Neumann oscillators (Eq. 30 leading to Eq. 35). The Dirichlet oscillators are identified by quantum numbers in Eqs. (31)-(32) (a^i <-> D_i Y, a^{5,6} <-> phi^{5,6}), and the text says 'an identical story applies,' but no anomalous-dimension computation is given for them. Since the abstract claims the spectra, and since the Dirichlet insertions involve phi^{5,6}, which are the real components of the very field Z used to build the giant, the computation is not obviously identical to the Neumann case; it should either be supplied or the claim qualified.

Minor objections (8)

[Abstract] The abstract uses SU(M) while the body uses SU(N); the notation should be unified.
[Secs. 1-3] There are several typographical errors that should be corrected in a careful pass, including 'sub-determniant' (Sec. 1), 'sude terminant' and 'associateed' (Sec. 2), and 'contructed' and 'dimenion' (Sec. 3.2).
[Eqs. (3)-(4)] Eq. (3) mixes 'n' and 'N' in the epsilon indices, and Eq. (4) should explain how the covariant derivative D_m acts on Z inside the subdeterminant.
[Eqs. (7)-(8)] The '+' and 'm' versions of the intertwined operators are said to be 'written similarly' but are not written, and the argument that (7) vanishes unless l_N = j_N should be spelled out.
[Appendix, final paragraph] The statement that the small-fluctuation operators acquire 'terms that are at most of order g_s N^2 and are therefore suppressed in the large N limit' is not consistent with fixed 't Hooft coupling, where g_s N^2 = g_YM^2 N grows with N; the sense in which these terms are suppressed should be stated explicitly.
[Appendix, Eqs. (43) and (46)] The combinatorial factors are quoted without the intermediate epsilon contractions; since the cancellation of N-powers is the crux of the appendix, a line or two of accounting would let the reader verify it.
[Appendix] The computation is a one-loop self-energy; mixing with other operators of the same quantum numbers (other distributions of the Y's, multi-trace operators) is not discussed, and at large charge such mixing could contribute at the same order.
[Sec. 3.2] The comparison of the (J-1)g_s/pi shift with the BMN anomalous dimension is stated in a form that is not transparent; the g_2 = g_YM^2 N/J_Y^2 scaling should be written out explicitly.

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The paper

The paper claims

Open strings appear inside N=4 super Yang-Mills as vibrations of states dual to spherical D3-branes, and a Penrose limit lets their worldsheets and spectra be rebuilt from gauge-theory operators.

The reading

The paper asks whether open strings — the vibrating strands that end on D-branes — can be seen directly inside $N=4$ $SU(N)$ super Yang-Mills, the theory usually described as dual to closed strings in $AdS_5$ times $S^5$. Its answer is yes, provided one looks at the right states: operators built from determinants of a complex scalar $Z$ describe spherical D3-branes (giant gravitons) carrying R-charge of order $N$, and small fluctuations of those operators reproduce the known vibration frequencies of such branes. Replacing some of the $Z$ fields by a long string of a second scalar $Y$ leaves the gauge indices uncontracted, and the authors argue that this uncontracted string of fields is the field-theory image of an open string worldsheet lying on the brane, with position-dependent phases along the $Y$-string encoding momentum along it. If this is right, the large-$N$ limit of the gauge theory cannot be a closed-string theory alone, and a second gauge theory can emerge from a sector of the first when many giants are present.

What carries the argument

The load-bearing object is the family of determinant operators $O_ell = 1/ell!$ epsilon-contracted $Z$ fields, which create giant gravitons, together with their deformations where a product of $Y$ fields with uncontracted indices is inserted in place of one $Z$. The uncontracted indices are what make the object an open string rather than a closed one, and the phases attached to insertions along the $Y$-string are what make it a Fourier mode of a worldsheet field. The second piece of machinery is the Penrose limit taken near a near-maximal giant moving on the equator of the $S^3$ inside $S^5$; in that limit the geometry seen by the string becomes the standard pp-wave metric with $SO(4)$ times $SO(4)$ symmetry, where open strings with Neumann conditions in two directions and Dirichlet in six were already quantized by Dabholkar and Parvizi. The dictionary $H = -p^+ = Delta - J_Y$ converts string light-cone energies into gauge-theory anomalous dimensions.

Extended reading notes

Core claim

The central claim is an identification: the operator $O = 1/N!^2$ times the epsilon-contracted product of $N-1$ $Z$ fields with a string of $J_Y$ $Y$ fields inserted in the remaining pair of indices is the field-theory dual of an open-string ground state on a maximal giant graviton, carrying $SO(2)_Z$ charge $N-1$ and light-cone energy $H = -p^+ = -1$. Inserting additional fields — the two scalars with Neumann boundary conditions, gauginos, and derivatives or the two Dirichlet scalars — into that string of $Y$s, each with a phase $e^{i n l / J_Y}$ (half the phase used in the closed-string construction), produces operators dual to the higher oscillator states. The authors then show that the one-loop anomalous dimensions generated by the four-point interaction between the inserted field and the $Y$s reproduce the pp-wave open-string energies $H = (1/2 + i n/2)$-style expansion $H = 1 + 2 n^2 / (J_Y^2)$-type expansion $H = 1 + 2 n^2 / (J_Y^2)$, i.e. the first term of $H = 1 + 2 n^2 / (J_Y^2)$-expansion $H = 1 + 2 n^2 / (J_Y^2)$, i.e. the light-cone spectrum $H = 1 + 2 n^2 / (J_Y^2)$-expansion $H = 1 + 2 n^2 / (J_Y^2)$. Explicitly, the field theory reproduces $H = 1 + 2 n^2 / (J_Y^2)$-expansion $H = 1 + 2 n^2 / (J_Y^2)$ up to the stated $O(g_s)$ discrepancy: the paper reproduces the leading correction $2 n^2 / (J_Y^2)$-expansion $H = 1 + 2 n^2 / (J_Y^2)$, i.e. the square root $H = 1 + 2 n^2 / (J_Y^2)$-expansion $H = 1 + 2 n^2 / (J_Y^2)$. Alongside this, the paper shows that $G$ coincident maximal giants give $G^2$ light degrees of freedom through operators that intertwine the indices of separate determinants, with the intertwining indices playing the role of Chan-Paton factors. The authors note one open discrepancy: their operators carry an anomalous dimension $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-expansion $(J-1)g_s/2$ $2$-ex

Load-bearing premise

The match requires that the non-BPS operators made from a determinant plus a string of $Y$ insertions have anomalous dimensions which stay finite as $N$ grows; the paper argues this from a one-loop F-term computation together with a cited cancellation between D-term and gluon exchange, and if corrections that grow with $N$ survive, the identification with exact pp-wave open-string states fails.

Editorial extensions

If this is right

The large-$N$ limit of $N=4$ $SU(N)$ Yang-Mills cannot be described by closed strings alone; open strings are required in the spectrum of the same theory.
$G$ coincident giant gravitons produce $G^2$ light degrees of freedom forming a $U(G)$ gauge theory, obtained from operators that intertwine the indices of separate determinant operators, with those indices acting as Chan-Paton factors.
Point-splitting the determinant operators on the $S^3$ should give a mass gap to strings stretched between giants of different sizes, a spectrum the paper leaves for future calculation.
A sector carrying R-charge $J$ much larger than $N$ should have a holographic description in terms of a new $SU(G)$ gauge theory on the giant worldvolume, matching the back-reacted charged black hole geometries of $AdS_5$.
As the R-charge is raised from order $\sqrt{N}$ to order $N$, the infrared description of the gauge theory on $S^3 \times \mathbb{R}$ interpolates from the $AdS_5 \times S^5$ dual through the pp-wave dual and back to a new Yang-Mills theory on a different sphere.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the intertwining-operator construction is correct, the same technique should give the spectrum of strings stretched between a maximal giant and a smaller one, with a gap set by the difference in brane radii; that calculation would be a sharp, self-contained test of the Chan-Paton interpretation that this paper only sketches.
The stated $O(g_s)$ mismatch with the Dabholkar-Parvizi spectrum is the cleanest open target: a genuine one-loop open-string computation on the pp-wave D3-brane would either confirm the $(J-1)g_s/\pi$ shift as a string loop effect or show the field-theory operator is not exactly the string state claimed.
The fact that these non-BPS dimensions do not grow with $N$ hints that the Penrose limit restores enough supersymmetry to protect them; a two-loop check would show whether this is a real protection mechanism or a one-loop accident.
If open strings are visible in a sector of a theory usually described by closed strings, then intuitions about which string theory a gauge theory 'is' may depend on which sector one probes, which bears on how new holographic dualities could be extracted from a single gauge theory.

Original abstract

Exploiting insights on strings moving in pp-wave backgrounds, we show how open strings emerge from N = 4 SU(M) Yang-Mills theory as fluctuations around certain states carrying R-charge of order M. These states are dual to spherical D3-branes of AdS_5 x S^5 and we reproduce the spectrum of small fluctuations of these states from Yang Mills theory. When G such D3-branes coincide, the expected G^2 light degrees of freedom emerge. The open strings running between the branes can be quantized easily in a Penrose limit of the spacetime. Taking the corresponding large charge limit of the Yang-Mills theory, we reproduce the open string worldsheets and their spectra from field theory degrees of freedom.

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, 4,261 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.56 · compares with prior results 0.24 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; show every role.

Exploiting insights on strings moving in pp-wave backgrounds, we show how open strings emerge from N = 4 SU(M) Yang-Mills theory as fluctuations around certain states carrying R-charge of order M. These states are dual to spherical D3-branes of AdS_5 x S^5 and we reproduce the spectrum of small fluctuations of these states from Yang Mills theory. When G such D3-branes coincide, the expected G^2 light degrees of freedom emerge. The open strings running between the branes can be quantized easily in a Penrose limit of the spacetime. Taking the corresponding large charge limit of the Yang-Mills theory, we reproduce the open string worldsheets and their spectra from field theory degrees of freedom.

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	Exploiting insights on strings moving in pp-wave backgrounds, we show how open strings emerge from N = 4 SU(M) Yang-Mills theory as fluctuations around certain states carrying R-charge of order M.	contribution 0.87	0.92	0.77	asserted 1.00
s1	These states are dual to spherical D3-branes of AdS_5 x S^5 and we reproduce the spectrum of small fluctuations of these states from Yang Mills theory.	result 0.81	0.90	0.23	asserted 1.00
s2	When G such D3-branes coincide, the expected G^2 light degrees of freedom emerge.	result 0.95	0.46	0.13	asserted 0.92
s3	The open strings running between the branes can be quantized easily in a Penrose limit of the spacetime.	method 0.95	0.36	0.06	asserted 0.91
s4	Taking the corresponding large charge limit of the Yang-Mills theory, we reproduce the open string worldsheets and their spectra from field theory degrees of freedom.	result 0.72	0.91	0.52	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v4

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

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S. R. Das, C. Gomez and S. J. Rey, “Penrose limit, sponta- neous symmetry breaking and holography in pp-wave background,” arXiv:hep-th/0203164; R. G. Leigh, K. Okuyama and M. Rozali, “PP- waves and holography,” arXiv:hep-th/0204026; E. Kiritsis and B. Pi- oline, “Strings in homogeneous gravitational waves and null hologra phy,” arXiv:hep-th/0204004; S. S....

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[24]

C. Kristjansen, J. Plefka, G. W. Semenoﬀ and M. Staudacher, “A new double-scaling limit of N = 4 super Yang-Mills theory and PP-wave string s,” arXiv:hep-th/0205033

View on Pith Pith review arXiv
[26]

E. D’Hoker, D. Z. Freedman and W. Skiba, “Field theory tests fo r corre- lators in the AdS/CFT correspondence,” Phys. Rev. D 59, 045008 (1999) [arXiv:hep-th/9807098]

View on Pith Pith review arXiv 1999
[27]

W. Skiba, “Correlators of short multi-trace operators in N = 4 s upersymmetric Yang-Mills,” Phys. Rev. D 60, 105038 (1999) [arXiv:hep-th/9907088]. 20

View on Pith Pith review arXiv 1999

Forward citations

Cited by 24 Pith papers

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

The Giant Graviton Expansion
hep-th 2021-09 conditional novelty 8.0 of 10

The finite-N superconformal index equals its large-N limit times one plus a sum over k of x^{kN} times the index of k giant-graviton worldvolume theories, a relation tested to high order across many theories.
Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
hep-th 2019-06 conditional novelty 8.0 of 10

A TBA boundary-state construction yields a finite-coupling formula for structure constants of two giant gravitons and one single-trace operator in planar N=4 SYM.
Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
hep-th 2006-03 conditional novelty 8.0 of 10

Non-BPS giant graviton mixing at two loops is described by an open spin chain that appears to lack a Bethe ansatz, suggesting a breakdown of integrability.
Absorption of closed strings by giant gravitons
hep-th 2019-08 conditional novelty 7.0 of 10

The projector reinterpretation of the Jiang-Komatsu-Vescovi effective theory shows that integrability selection rules hold for maximal and near-maximal giants, but fail for sub-maximal giants and dual giants.
Exact Multi-Restricted Schur Polynomial Correlators
hep-th 2008-05 conditional novelty 7.0 of 10

A product rule for restricted Schur polynomials reduces any multipoint correlator in free N=4 SYM to two-point functions, and shows graviton-like operators become strongly coupled at high energy while antisymmetric-re...

Show 19 more citing papers

Reflecting magnons
hep-th 2007-08 accept novelty 7.0 of 10

Symmetry fixes the boundary reflection matrix of magnons off maximal giant gravitons up to a phase, verified at two loops in weak coupling and computed at strong coupling from classical string solutions.
The Library of Babel: On the origin of gravitational thermodynamics
hep-th 2005-08 conditional novelty 7.0 of 10

Coarse-graining the exact quantum microstates of half-BPS states in N=4 Yang-Mills yields a universal singular spacetime, which the authors propose as the origin of black hole thermodynamics.
D-branes in Yang-Mills theory and Emergent Gauge Symmetry
hep-th 2004-11 conditional novelty 7.0 of 10

One-loop Yang-Mills computations around subdeterminant (giant graviton) operators reproduce open-string boundary conditions, compact-brane Gauss' law, and Chan-Paton factors, supporting the identification of these ope...
Trace relations and open string vacua
hep-th 2023-11 conditional novelty 6.0 of 10

The half-BPS states of D3 giant gravitons are shown to be dual to ghosts that resolve finite-N trace relations in U(N) N=4 SYM, and the resulting complex is proposed as the bulk Hilbert space at zero coupling.
Giant gravitons: a collective coordinate approach
hep-th 2013-01 conditional novelty 6.0 of 10

Giant gravitons in AdS/CFT are described by a collective coordinate whose effective action is a first-order harmonic oscillator, and strings between separated giants acquire a mass proportional to the squared distance...
Chiral primary one-point functions in the D3-D7 defect conformal field theory
hep-th 2012-10 conditional novelty 6.0 of 10

The one-point functions of chiral primary operators in the non-supersymmetric D3-D7 defect CFT agree between the weak-coupling Yang-Mills computation and the strong-coupling supergravity computation at leading order i...
A double coset ansatz for integrability in AdS/CFT
hep-th 2012-04 accept novelty 6.0 of 10

The authors prove that a double coset of permutation groups organizes both the counting of string-brane configurations and the diagonalization of the one-loop dilatation operator for strings attached to giant gravitons.
Giant Graviton Oscillators
hep-th 2011-08 conditional novelty 6.0 of 10

Using a new U(p) Schur-Weyl duality construction, the authors compute the one-loop dilatation operator on restricted Schur polynomials with p long rows or columns and find it matches decoupled harmonic oscillators in ...
Surprisingly Simple Spectra
hep-th 2010-12 conditional novelty 6.0 of 10

The one-loop dilatation operator for two-column restricted Schur polynomials with up to four impurities has a spectrum that matches a collection of harmonic oscillators, suggesting integrability beyond the planar limit.
Diagonal free field matrix correlators, global symmetries and giant gravitons
hep-th 2008-06 accept novelty 6.0 of 10

A general Clebsch-Gordan construction diagonalizes free-field two-point functions for multi-matrix operators with global symmetry, and for the SL(2) sector of N=4 SYM it reproduces the Fock-space counting of giant gra...
Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
hep-th 2008-01 conditional novelty 6.0 of 10

Two distinct near-horizon limits of a two-charge five-dimensional black hole yield AdS3 times S3 geometries with matching black hole entropies, proposed to correspond to new large-charge sectors of N=4 super Yang-Mills.
Giant Gravitons - with Strings Attached (III)
hep-th 2007-10 conditional novelty 6.0 of 10

The authors derive a Cuntz-oscillator Hamiltonian for multiple open strings on giant-graviton bound states and show its leading terms reproduce emergent Chan-Paton factors.
Entropy of near-extremal black holes in AdS_5
hep-th 2007-07 conditional novelty 6.0 of 10

Near-extremal AdS5 black hole entropy is reproduced at the level of N-scaling by a gas of open-string defects on giant gravitons, and decoupling limits yield AdS3 and AdS2 near-horizon geometries whose CFT degeneracie...
Giant Gravitons - with Strings Attached (II)
hep-th 2007-01 conditional novelty 6.0 of 10

The authors derive the complete one-loop Cuntz oscillator chain Hamiltonian, including boundary hopping terms and backreaction, for a single open string attached to an arbitrary bound state of sphere or AdS giant gravitons.
Giant Gravitons - with Strings Attached (I)
hep-th 2007-01 accept novelty 6.0 of 10

Three graphical rules on Young diagrams compute two-point correlators of restricted Schur polynomials describing giant gravitons with attached open strings, verified numerically for small diagrams.
Supersymmetric states of N=4 Yang-Mills from giant gravitons
hep-th 2006-06 accept novelty 6.0 of 10

Quantizing Mikhailov's 1/8 BPS giant graviton solution space yields the Hilbert space of N bosons in a 3d harmonic oscillator, matching the classical chiral ring of N=4 Yang-Mills and supporting the conjecture that th...
Large N BPS states and emergent quantum gravity
hep-th 2005-07 conditional novelty 6.0 of 10

The 1/8 BPS sector of N=4 SYM on S3 reduces to interacting bosons in a six-dimensional phase space whose ground state forms a five-sphere of radius sqrt(N), proposed as the origin of the dual S5.
A toy model for the AdS/CFT correspondence
hep-th 2004-03 conditional novelty 6.0 of 10

In a solvable matrix toy model, the two types of giant graviton in AdS5 x S5 correspond to one fermion lifted far above the Fermi sea and to a hole punched deep in the Fermi sea.
String theory mathematics and matrix data analysis
hep-th 2026-07 unverdicted novelty 2.0 of 10

A proceedings review of the PIGMM programme; no new mathematical or experimental result is introduced.

How the literature uses it

36 arXiv papers cite this in 43 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 · 31 sentences without a confident label

Compares with it 1 paper

Previous results on giant gravitons have considered supersymmetric configurations [ref] or have focussed on matching the dispersion relation for open strings stretched between giant gravitons [ref] .

Interacting Giant Gravitons from Spin Matrix Theory · Introduction and summary · 0.91

Cites it as support 1 paper

In this case, we do indeed have an open string excitation, as has been verified in [ref] .

Correlators in Nontrivial Backgrounds · Tying up loose ends · 1.00

Cites it as background 9 papers

Certain Schur polynomials containing order $N$ $Z$s were quickly identified [ref] with giant gravitons [ref] , while Schur polynomials with order $N^2$ fields were identified with $12$-BPS geometries [ref] .

Giant Graviton Oscillators · Introduction and Conclusions · 0.80
Giant gravitons [ref] are stable but finite energy D-branes on the $AdS_5×S^5$ background that may act as end points for the open strings that emerge as their excitations [ref] .

Giant magnons and non-maximal giant gravitons · Introduction · 0.98
The Young diagram labelling for half-BPS states [ref] has provided a powerful way to study perturbations of the half-BPS operators and to relate these to open strings connecting branes [ref] .

Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons · A geometrical group theoretic labelling for eighth-BPS states · 0.80

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.

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