The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons

H. Storch; R. Flume; R. Poghossian

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The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons

R. Flume, R. Poghossian, H. Storch

High Energy Physics - Theory · Submitted 21 Dec 2001

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

The authors' main claim This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.

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arXiv IDhep-th/0112211 (version 1)

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CitationH. Storch, R. Flume, R. Poghossian. "The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons." arXiv:hep-th/0112211 (2001). https://pith.science/paper/P6YCTJIZ

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.30 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed two form. This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form.	result 0.58	0.71	0.36	asserted 1.00
s1	Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed two form.	method 0.73	0.82	0.16	asserted 1.00
s2	This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.	interpretation 0.95	0.77	0.46	asserted 0.85

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

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arXiv listing abstract v1

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full text
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P abstract

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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

The n-instanton contribution to the Seiberg-Witten prepotential of N=2 supersymmetric d=4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed two form. This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.

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References

Forward citations

Cited by 3 Pith papers

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

A note on rank $\frac{3}{2}$ Liouville irregular block
hep-th 2025-02 conditional novelty 6.0 of 10

The paper derives the rank 3/2 irregular conformal block for H1 Argyres-Douglas theory via holomorphic anomaly recursion and a deformed Seiberg-Witten curve, exact in the coupling.
Multi-Instanton Calculus and Equivariant Cohomology
hep-th 2002-11 conditional novelty 6.0 of 10

A supersymmetric localization formula on the ADHM moduli space yields closed sum-over-Young-tableaux expressions for multi-instanton partition functions of N=2, N=2* and N=4 gauge theories.
An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential
hep-th 2002-08 conditional novelty 5.0 of 10

Explicit 2-, 3- and 4-instanton coefficients of the Seiberg-Witten prepotential are computed by localizing the ADHM moduli integral to discrete fixed points, with a general SU(N) determinant formula.

How the literature uses it

5 arXiv papers cite this in 5 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

This two form is, formally, a representative of the Euler class of the Instanton moduli space viewed as a principal U(1) bundle, because its pullback under bundel projection is the exterior derivative of an angular one-form.

The coefficients of the Seiberg-Witten prepotential as intersection numbers (?) · 0.99

Papers citing it · 3 sentences without a confident label

Cites it as background 2 papers

First was the realization that the Supersymmetric Yang-Mills action induced to the moduli space of instantons can be represented in terms of closed, equivariant with respect to the diagonal part of the gauge group, forms [ref] .

Instantons and the 5D U(1) gauge theory with extra adjoint · Introduction · 0.92
In particular its application to Seiberg-Witten (SW) theory [ref] allows one to reduce seemingly intractable instanton moduli integrals to essentially smaller submanifold of instantons invariant with respect to an Abelian subgroup of global gauge singled out by the adjoint scalar VEV [ref] .

A note on rank $\frac{3}{2}$ Liouville irregular block · Introduction · 0.84

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