4 research outputs found
Instantons on ALE spaces and Super Liouville Conformal Field Theories
We provide evidence that the conformal blocks of N=1 super Liouville
conformal field theory are described in terms of the SU(2) Nekrasov partition
function on the ALE space O_{P^1}(-2).Comment: 10 page
Instantons and 2d Superconformal field theory
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.Comment: 13 pages, exposition improved, references adde