Schur indices with class S line operators from networks and further skein relations

Noriaki Watanabe

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arXiv · 1701.04090

Schur indices with class S line operators from networks and further skein relations

Noriaki Watanabe

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Abstract

We compute the Schur indices in the presence of some line operators based on our con- jectural formula introduced in [1]. In particular, we focus on the rank 1 superconformal field theories with the enhanced global symmetry and the free hypermultiplets with the elementary pants networks defined on the three punctured sphere in the class S context. From the observations on the concrete computations, we propose new kinds of the class S skein relations in the sense that they include the generic puncture non-trivially. We also give a general formula to unify all the relations we have exhibited.

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Noriaki Watanabe. 2017-02-01. Schur indices with class S line operators from networks and further skein relations. https://arxiv.org/abs/1701.04090

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