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Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories

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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.

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Authors and Affiliations

  1. Theoretical Physics Departement, Lebedev Physical Institute, RAS, Leninsky pr., Moscow, Russia

    V. Belavin

  2. Quantum Field Theory Department, Landau Institute for Theoretical Physics, RAS, Akademika Semenova av., Chernogolovka, Russia

    B. Feigin

  3. Department of Mathematics, Higher School of Economics, Vavilova str., Moscow, Russia

    B. Feigin

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  1. V. Belavin
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  2. B. Feigin
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Correspondence to V. Belavin.

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ArXiv ePrint:1105.5800

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Belavin, V., Feigin, B. Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories. J. High Energ. Phys. 2011, 79 (2011). https://doi.org/10.1007/JHEP07(2011)079

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