On skein relations in class S theories

  title={On skein relations in class S theories},
  author={Yuji Tachikawa and N. Watanabe},
Loop operators of a class S theory arise from networks on the corresponding Riemann surface, and their operator product expansions are given in terms of the skein relations, that we describe in detail in the case of class S theories of type A. As two applications, we explicitly determine networks corresponding to dyonic loops of N=4 SU(3) super YangMills, and compute the superconformal index of a nontrivial network operator of the T3 theory. 

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