Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories

Physics – High Energy Physics – High Energy Physics - Theory

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18 pages, misprints corrected, formula 5.8 is improved, references added

Scientific paper

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.

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