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 Yang-Mills theory and conformal blocks of two-dimensional 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:
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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
- E-Print:
- 18 pages, misprints corrected, formula 5.8 is improved, references added