• Corpus ID: 119161460

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

@article{Watanabe2017SchurIW,
  title={Schur indices with class S line operators from networks and further skein relations},
  author={Noriaki Watanabe},
  journal={arXiv: High Energy Physics - Theory},
  year={2017}
}

• N. Watanabe
• Published 15 January 2017
• Mathematics
• arXiv: High Energy Physics - Theory

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.