Superpotentials for Vector Bundle Moduli

Burt A. Ovrut; Evgeny I. Buchbinder; Ron Donagi

RECORD

Superpotentials for Vector Bundle Moduli

Evgeny I. Buchbinder, Ron Donagi, Burt A. Ovrut

High Energy Physics - Theory · Submitted 19 May 2002

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

The authors' main claim We present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

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, 4,333 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.40 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.05 · 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 present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory. This method is applicable to any stable, holomorphic vector bundle over an elliptically fibered Calabi-Yau threefold. For specificity, the vector bundle moduli superpotential, for a vector bundle with structure group G=SU(3), generated by a heterotic superstring wrapped once over an isolated curve in a Calabi-Yau threefold with base B=F1, is explicitly calculated. Its locus of critical points is discussed. Superpotentials of vector bundle moduli potentially have important implications for small instanton phase transitions and the vacuum stability and cosmology of superstrings and M-theory.

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 present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory.	contribution 0.97	0.95	0.51	asserted 1.00
s1	This method is applicable to any stable, holomorphic vector bundle over an elliptically fibered Calabi-Yau threefold.	method 0.45	0.63	0.10	asserted 1.00
s2	For specificity, the vector bundle moduli superpotential, for a vector bundle with structure group G=SU(3), generated by a heterotic superstring wrapped once over an isolated curve in a Calabi-Yau threefold with base B=F1, is explicitly calculated.	result 0.68	0.95	0.24	asserted 1.00
s3	Its locus of critical points is discussed.	result 0.68	0.84	0.06	asserted 0.74
s4	Superpotentials of vector bundle moduli potentially have important implications for small instanton phase transitions and the vacuum stability and cosmology of superstrings and M-theory.	interpretation 1.00	0.11	0.17	hedged possibility 0.99

What kind of paper the classifier reports this is: method or tool 0.98 · evidence from proof or derivation 0.97.

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 present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory. This method is applicable to any stable, holomorphic vector bundle over an elliptically fibered Calabi-Yau threefold. For specificity, the vector bundle moduli superpotential, for a vector bundle with structure group G=SU(3), generated by a heterotic superstring wrapped once over an isolated curve in a Calabi-Yau threefold with base B=F1, is explicitly calculated. Its locus of critical points is discussed. Superpotentials of vector bundle moduli potentially have important implications for small instanton phase transitions and the vacuum stability and cosmology of superstrings and M-theory.

Human review

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

References

Forward citations

Cited by 11 Pith papers

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

Model Building with F-Theory
hep-th 2008-02 conditional novelty 8.0 of 10

Charged chiral matter and Yukawa couplings in F-theory GUT models come from flux on 7-brane intersections, and the resulting spectrum reproduces the dual heterotic spectral-cover computation.
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 Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
hep-th 2011-07 conditional novelty 6.0 of 10

Three computations of how a holomorphic vector bundle constrains the complex structure moduli of a Calabi-Yau threefold are argued to agree, and explicit bundles that freeze 80 of 82 moduli are exhibited.
Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
hep-th 2011-01 conditional novelty 6.0 of 10

All geometric moduli of a smooth heterotic Calabi-Yau compactification can be stabilized without NS flux by combining bundle holomorphy, anomalous U(1) D-terms, and non-perturbative effects, with an explicit AdS example.
Supersymmetric P(X,phi) and the Ghost Condensate
hep-th 2010-12 accept novelty 6.0 of 10

A superfield recipe builds N=1 supersymmetric extensions of P(X,phi) scalar theories, and its ghost-condensate application shows the extra supersymmetric fields pick up wrong-sign gradient terms.

Show 6 more citing papers

MSW Instantons
hep-th 2010-05 conditional novelty 6.0 of 10

M5-instantons in F-theory reduce to a computable two-dimensional CFT in the dP9 limit, and the chirality constraints on their superpotential contributions that appear in weakly coupled type IIb do not survive at finit...
On Instanton Effects in F-theory
hep-th 2010-02 conditional novelty 6.0 of 10

On explicit fourfolds, the zero modes of vertical M5-brane instantons in F-theory are shown to be fixed by the equivariant cohomology of the Type IIB E3-brane divisor plus the genus of its resolved intersection curve ...
New Instanton Effects in String Theory
hep-th 2005-12 conditional novelty 6.0 of 10

Worldsheet instantons in N=1 heterotic compactifications generate multi-fermion F-terms that deform the complex structure of the moduli space, extending the known instanton-generated superpotential story.
Residues and World-Sheet Instantons
hep-th 2003-04 accept novelty 6.0 of 10

World-sheet instanton corrections to the heterotic superpotential cancel by a residue theorem in (0,2) linear and half-linear sigma models, and families of M-theory membrane instantons contribute proportionally to the...
Non-perturbative SQCD Superpotentials from String Instantons
hep-th 2006-12 conditional novelty 5.0 of 10

A single E2-brane instanton placed on intersecting D6-branes reproduces the Affleck-Dine-Seiberg superpotential of SQCD with Nf = Nc - 1 flavours in the field theory limit.
Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
hep-th 2006-03 conditional novelty 5.0 of 10

Adding anti-five-branes to the minimal heterotic standard model lifts the moduli-stabilized vacuum to a meta-stable de Sitter state with a small positive cosmological constant and exact MSSM matter content.

How the literature uses it

20 arXiv papers cite this in 32 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 · 25 sentences without a confident label

Uses its method or tool 1 paper

The bundle $V|_σ$ can be obtained from the spectral data $(C, N|_C)$ as follows [ref]

Dynamically SUSY Breaking SQCD on F-Theory Seven-Branes · The Matter Localized on the Curve · 0.92

Cites it as background 5 papers

This has been pursued in works such as [ref] .

Elusive Worldsheet Instantons in Heterotic String Compactifications · Introduction · 0.84
Expression of this type of familiar from `physical gauge' calculations of corrections to the spacetime superpotential in heterotic compactifications due to worldsheet instantons [ref] .

Heterotic twistor-string theory · Witten's twistor-string: D5-D5, D5-D1 and D1-D1 strings · 0.84
For this reason they have been studied in string theory from the early days on (see for instance [ref] ), where particular attention was given to instanton corrections to the superpotential of the four-dimensional $N=1$ supersymmetric effective action, as these corrections influence the vacuum structure of the string compactification.

Power Towers of String Instantons for N=1 Vacua · Introduction · 0.99

Discussion

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