Instantons and 2d superconformal field theory

A. Belavin; V. Belavin; M. Bershtein

doi:10.1007/JHEP09(2011)117

Instantons and 2d superconformal field theory

A. Belavin, V. Belavin, M. Bershtein

Research output: Contribution to journal › Article › peer-review

Abstract

A recently proposed correspondence between 4-dimensional N = 2 SUSY SU(k) gauge theories on R⁴/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 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 language	English
Article number	117
Journal	Journal of High Energy Physics
Volume	2011
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2011)117
State	Published - 1 Jan 2011
Externally published	Yes

Keywords

Conformal and W symmetry
Supersymmetric gauge theory

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1007/JHEP09(2011)117

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title = "Instantons and 2d superconformal field theory",

abstract = "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.",

keywords = "Conformal and W symmetry, Supersymmetric gauge theory",

author = "A. Belavin and V. Belavin and M. Bershtein",

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AU - Belavin, V.

AU - Bershtein, M.

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N2 - 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.

AB - 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.

KW - Conformal and W symmetry

KW - Supersymmetric gauge theory

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DO - 10.1007/JHEP09(2011)117

M3 - مقالة

SN - 1126-6708

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 117

ER -

Instantons and 2d superconformal field theory

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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