N=2 superconformal blocks and instanton partition functions
arXiv:1205.3091 · doi:10.1007/JHEP06(2012)173
Abstract
We consider the problem of computing (irregular) conformal blocks in 2d CFTs whose chiral symmetry algebra is the N=2 superconformal algebra. Our construction uses two ingredients: (i) the relation between the representation theories of the N=2 superconformal algebra and the affine sl(2) algebra, extended to the level of the conformal blocks, and (ii) the relation between affine sl(2) conformal blocks and instanton partition functions in the 4d N=2 SU(2) gauge theory with a surface defect. By combining these two facts we derive combinatorial expressions for the N=2 superconformal blocks in the Gaiotto limit.
37 pages. v2: typos corrected, references added
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- q-Vertex Operator from 5D Nekrasov Function
- Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
- Conformal blocks of Chiral fields in N=2 SUSY CFT and Affine Laumon Spaces
- Flat structures on the deformations of Gepner chiral rings
- Coloured refined topological vertices and parafermion conformal field theories
- AGT basis in SCFT for c=3/2 and Uglov Polynomials