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A recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4/Z_m and SU(k) Toda-like theories with Z_m parafermionic symmetry is used to construct four-point N=1 super Liouville conformal block, which corresponds to the particular case k=m=2.
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N. Wyllard, A N − 1 A_{N-1} conformal Toda field theory correlation functions from conformal N = 2 N=2 S U ( N ) SU(N) quiver gauge theories
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