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Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion

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Timothy J. Hollowood

High Energy Physics - Theory · Submitted 28 Feb 2002

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

The authors' main claim We find exact agreement with Seiberg-Witten theory and thereby achieve the most powerful test yet of this theory.

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arXiv IDhep-th/0202197 (version 1)
Pith IDWEWXAU6G, Pith's permanent record of this paper and its review
CitationTimothy J. Hollowood. "Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion." arXiv:hep-th/0202197 (2002). https://pith.science/paper/WEWXAU6G
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,770 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.12 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.89 · mentions code or data availability 0.02.

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

In the context of softly-broken N=4 to N=2 supersymmetric SU(N) gauge theory, we calculate using semi-classical instanton methods, the lowest order non-trivial terms in the mass expansion of the prepotential for all instanton number. We find exact agreement with Seiberg-Witten theory and thereby achieve the most powerful test yet of this theory. We also calculate the one- and two-instanton contributions completely and also find consistency with Seiberg-Witten theory. Our approach relies on the fact that the instanton calculus admits a nilpotent fermionic symmetry, or BRST operator, whose existence implies that the integrals over the instanton moduli space, which give the coefficients of the prepotential, localize on the space of resolved point-like instantons or what we call ``topicons''.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In the context of softly-broken N=4 to N=2 supersymmetric SU(N) gauge theory, we calculate using semi-classical instanton methods, the lowest order non-trivial terms in the mass expansion of the prepotential for all instanton number. contribution 0.98 0.96 0.08 asserted 1.00
s1 We find exact agreement with Seiberg-Witten theory and thereby achieve the most powerful test yet of this theory. interpretation 0.51 0.96 0.87 asserted 1.00
s2 We also calculate the one- and two-instanton contributions completely and also find consistency with Seiberg-Witten theory. result 0.84 0.97 0.14 asserted 0.97
s3 Our approach relies on the fact that the instanton calculus admits a nilpotent fermionic symmetry, or BRST operator, whose existence implies that the integrals over the instanton moduli space, which give the coefficients of the prepotential, localize on the space of resolved point-like instantons or what we call ``topicons''. method 1.00 0.49 0.04 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94.

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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

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Original abstract

In the context of softly-broken N=4 to N=2 supersymmetric SU(N) gauge theory, we calculate using semi-classical instanton methods, the lowest order non-trivial terms in the mass expansion of the prepotential for all instanton number. We find exact agreement with Seiberg-Witten theory and thereby achieve the most powerful test yet of this theory. We also calculate the one- and two-instanton contributions completely and also find consistency with Seiberg-Witten theory. Our approach relies on the fact that the instanton calculus admits a nilpotent fermionic symmetry, or BRST operator, whose existence implies that the integrals over the instanton moduli space, which give the coefficients of the prepotential, localize on the space of resolved point-like instantons or what we call ``topicons''.

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