Super Liouville conformal blocks from mathcal{N} = 2 SU(2) quiver gauge theories
Abstract
The conjecture about the correspondence between instanton partition functions in the N = 2 SUSY YangMills theory and conformal blocks of twodimensional conformal field theories is extended to the case of the N = 1 supersymmetric conformal blocks. We find that the necessary modification of the moduli space of instantons requires additional restriction of Z (2)symmetry. This leads to an explicit form of the N =1 superconformal blocks in terms of Young diagrams with two sorts of cells.
 Publication:

Journal of High Energy Physics
 Pub Date:
 July 2011
 DOI:
 10.1007/JHEP07(2011)079
 arXiv:
 arXiv:1105.5800
 Bibcode:
 2011JHEP...07..079B
 Keywords:

 Supersymmetric gauge theory;
 Conformal and W Symmetry;
 Conformal Field Models in String Theory;
 High Energy Physics  Theory
 EPrint:
 18 pages, misprints corrected, formula 5.8 is improved, references added