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

  • V. Belavin
  • B. Feigin


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.


Supersymmetric gauge theory Conformal and W Symmetry Conformal Field Models in String Theory 


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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  1. 1.Theoretical Physics DepartementLebedev Physical Institute, RASMoscowRussia
  2. 2.Quantum Field Theory DepartmentLandau Institute for Theoretical Physics, RASChernogolovkaRussia
  3. 3.Department of MathematicsHigher School of EconomicsMoscowRussia

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