Instanton moduli spaces and bases in coset conformal field theory

A. A. Belavin, M. A. Bershtein, B. L. Feigin, A. V. Litvinov, G. M. Tarnopolsky

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)

Abstract

The recently proposed relation between conformal field theories in two dimensions and supersymmetric gauge theories in four dimensions predicts the existence of the distinguished basis in the space of local fields in CFT. This basis has a number of remarkable properties: one of them is the complete factorization of the coefficients of the operator product expansion. We consider a particular case of the U(r) gauge theory on ℂ2/ℤp which corresponds to a certain coset conformal field theory and describe the properties of this basis. We argue that in the case p = 2, r = 2 there exist different bases. We give an explicit construction of one of them. For another basis we propose the formula for matrix elements.

Original languageEnglish
Pages (from-to)269-301
Number of pages33
JournalCommunications in Mathematical Physics
Volume319
Issue number1
DOIs
Publication statusPublished - 1 Apr 2013
Externally publishedYes

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