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Instantons and 2d Superconformal field theory

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arxiv 1106.4001 v3 pith:HCWTU3SU submitted 2011-06-20 hep-th

A. Belavin , V. Belavin , M. Bershtein This is my paper · ORCID
classification hep-th
keywords instantoninstantonsmodulinumbertheoriesalgebraalgebrasblock
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A recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4/Z_m and SU(k) Toda-like theories with Z_m parafermionic symmetry is used to construct four-point N=1 super Liouville conformal block, which corresponds to the particular case k=m=2. The construction is based on the conjectural relation between moduli spaces of SU(2) instantons on R^4/Z_2 and algebras like \hat{gl}(2)_2\times NSR. This conjecture is confirmed by checking the coincidence of number of fixed points on such instanton moduli space with given instanton number N and dimension of subspace degree N in the representation of such algebra.

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  1. Refined Painlev\'e/gauge theory correspondence and quantum tau functions

    hep-th 2025-02 conditional novelty 6.0 of 10

    Strong-coupling expansions of N=2 SU(2) partition functions in general Omega-background are derived from quantum Painlevé equations obtained via C2/Z2 blowup relations, and match refined holomorphic anomaly and irregu...

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