Instantons and 2d superconformal field theory

A. Belavin, V. Belavin, M. Bershtein

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


A recently proposed correspondence between 4-dimensional N = 2 SUSY SU(k) gauge theories on R4/Zm and SU(k) Toda-like theories with Zm 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 R4/Z2 and algebras like bgl(2)2 × 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.

Original languageEnglish
Article number117
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 1 Jan 2011
Externally publishedYes


  • Conformal and W symmetry
  • Supersymmetric gauge theory


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