Schur indices with class S line operators from networks and further skein relations
High Energy Physics - Theory
2017-02-02 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1701.04090,
title = {Schur indices with class S line operators from networks and further skein relations},
author = {Noriaki Watanabe},
journal= {arXiv preprint arXiv:1701.04090},
year = {2017}
}
Comments
v2:46 pages with 11 figures (+ many expressions with figures), several error corrections and improvements, add a few references