An index for the Dirac operator on D3 branes with background fluxes

Alessandro Tomasiello; Amir-Kian Kashani-Poor; Dmitri Sorokin; Eric Bergshoeff; Renata Kallosh

RECORD

An index for the Dirac operator on D3 branes with background fluxes

Eric Bergshoeff, Renata Kallosh, Amir-Kian Kashani-Poor, Dmitri Sorokin, Alessandro Tomasiello

High Energy Physics - Theory · Submitted 7 Jul 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible.

how it is stated · asserted 0.83 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-th/0507069 (version 2)

Pith IDFB3SJM32, Pith's permanent record of this paper and its review

CitationAlessandro Tomasiello, Amir-Kian Kashani-Poor, Dmitri Sorokin, Eric Bergshoeff, Renata Kallosh. "An index for the Dirac operator on D3 branes with background fluxes." arXiv:hep-th/0507069 (2005). https://pith.science/paper/FB3SJM32

Claim paper

The compiled record

The paper's own sentences, arranged. 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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,706 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 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible. Applying the formalism to various classes of examples, including the K3 x T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.

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	We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory.	background 0.56	0.77	0.04	asserted 0.77
s1	To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes.	method 0.89	0.96	0.03	asserted 1.00
s2	We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible.	contribution 0.98	0.93	0.69	asserted 0.83
s3	Applying the formalism to various classes of examples, including the K3 x T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.	result 0.87	0.92	0.35	asserted 0.62

What kind of paper the classifier reports this is: theoretical result 0.80 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v2

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

The paper

Original abstract

We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible. Applying the formalism to various classes of examples, including the K3 x T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 12 Pith papers

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

Stringy Instantons at Orbifold Singularities
hep-th 2007-04 accept novelty 7.0 of 10

Orientifold projections remove extra neutral fermion zero-modes from D-brane instantons at orbifold singularities, turning otherwise vanishing exotic contributions into new superpotential and prepotential terms.
Stringy Instantons and Quiver Gauge Theories
hep-th 2006-10 conditional novelty 7.0 of 10

Euclidean D3-branes wrapping a del Pezzo surface and intersecting the quiver generate a baryonic superpotential term that ordinary gauge instantons cannot produce.
Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
hep-th 2006-09 conditional novelty 7.0 of 10

Wrapped Euclidean D-branes in intersecting D6-brane models generate charged matter superpotential couplings, including right-handed neutrino Majorana masses that realize the seesaw mechanism.
The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity
hep-th 2016-08 conditional novelty 6.0 of 10

The goldstino brane and constrained superfield descriptions of spontaneously broken N=1 supergravity with matter are shown to be equivalent, with the brane picture additionally producing a gravitino mass term and repr...
Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
hep-th 2014-11 conditional novelty 6.0 of 10

With an orientifold-compatible kappa-gauge, the anti-D3-brane's DBI and Wess-Zumino terms add to twice the Volkov-Akulov action while the D3-brane's cancel, giving the KKLT uplift a goldstino origin in flat space.

Show 7 more citing papers

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.
From ten to four and back again: how to generalize the geometry
hep-th 2007-07 conditional novelty 6.0 of 10

The ten-dimensional supersymmetry equations of warped SU(3)xSU(3) flux vacua are exactly the F- and D-flatness conditions of a Weyl-invariant four-dimensional N=1 supergravity, and non-perturbative corrections deform ...
Jumping Through Loops: On Soft Terms from Large Volume Compactifications
hep-th 2007-04 conditional novelty 6.0 of 10

String loop corrections to the Kähler potential leave the large volume scenario's minimum and its gaugino mass prediction intact, with corrections appearing only at subleading order in the volume expansion.
On supersymmetric Minkowski vacua in IIB orientifolds
hep-th 2006-03 conditional novelty 6.0 of 10

Under an assumed racetrack superpotential, toroidal orbifold models with one or two complex structure moduli admit supersymmetric Minkowski vacua, and models without complex structure moduli can be stabilized by addin...
$\overline{\rm D3}$ and dS
hep-th 2015-02 accept novelty 5.0 of 10

In a GKP flux background the anti-D3 brane's DBI and WZ terms double while the D3 brane's cancel, and primitive (2,1) flux gives the SU(3) fermion triplet a mass while leaving the singlet goldstino massless.
A comment on effective field theories of flux vacua
hep-th 2018-08 conditional novelty 2.0 of 10

Standard effective field theory justifies adding non-perturbative terms to no-scale supergravities, so the perturbative runaway does not invalidate KKLT-type de Sitter constructions.
D-brane Instantons in Type II String Theory
hep-th 2009-02 accept novelty 2.0 of 10

D-brane instantons provide a calculable, zero-mode-driven source of non-perturbative superpotential and other holomorphic couplings in N=1 Type II orientifold compactifications.

How the literature uses it

31 arXiv papers cite this in 64 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 · 48 sentences without a confident label

Uses its method or tool 2 papers

We follow the conventions of [ref] , which uses the action given in equations (4.4) to (4.6) of [ref] .

The supersymmetric anti-D3-brane action in KKLT · The fermionic action · 0.83
The coupling can be computed using the D-brane action coupled to a general supergravity background [ref] (see also [ref] , or as we discuss later by computing correlators in the fluxless theory.

D-brane instantons and the effective field theory of flux compactifications · The microscopic viewpoint: Lifting zero modes by fluxes · 0.89

Compares with it 3 papers

Using again the convention of splitting the internal indices into longitudinal (hatted) and transverse (unhatted) ones, we can show that the flux-induced fermionic couplings on E3-branes are [equation] If we consider the appropriate orientifold projections, which in this case remove both $H_m̂ n̂ p̂$ and $H_m̂ np$, we see that the only non-vanishing coupling is [equation] This is in perfect agreement with the result of Refs. [ref] that has been derived with pure supergravity methods.

Flux interactions on D-branes and instantons · Unmagnetized Euclidean branes · 0.96
Using again the convention of splitting the internal indices into longitudinal (hatted) and transverse (unhatted) ones, we can show that the flux-induced fermionic couplings on E3-branes are [equation] If we consider the appropriate orientifold projections, which in this case remove both $H_m̂ n̂ p̂$ and $H_m̂ np$, we see that the only non-vanishing coupling is [equation] This is in perfect agreement with the result of Refs. [ref] that has been derived with pure supergravity methods.

Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems · Unmagnetized Euclidean branes · 0.95
Notice that by setting $τ$ constant, with or without orientifolds, and forcing $=0$ one recovers, as a particular subcase, the zero-mode structure found in [ref] (up to a change of conventions).

Brane instantons and fluxes in F-theory · Cohomological summary · 0.81

Cites it as background 9 papers

The lifting of reparametrisation zero modes of $M5$-brane or Type IIB $D3$-brane instantons has been studied in detail [ref] (see also [ref] ).

Lifting D-Instanton Zero Modes by Recombination and Background Fluxes · Introduction · 0.86
These parts of the M5-action have been studied e.g. in [ref] .

Fluxed M5-instantons in F-theory · The partition function of vertical M5-brane instantons · 0.85
A well-known mechanism to lift zero modes is to consider D-brane instantons in the presence of $=1$ closed string background fluxes [ref] .

Non-perturbative F-terms across lines of BPS stability · Closed string fluxes · 0.89

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.