TY - JOUR
T1 - Instantons and 2d superconformal field theory
AU - Belavin, A.
AU - Belavin, V.
AU - Bershtein, M.
N1 - Publisher Copyright:
© SISSA 2011.
PY - 2011/1/1
Y1 - 2011/1/1
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
UR - http://www.scopus.com/inward/record.url?scp=84990008615&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2011)117
DO - 10.1007/JHEP09(2011)117
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AN - SCOPUS:84990008615
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 117
ER -