Paving a path from the refined Chern-Simons to the topological strings
May 16, 2022
This talk was based on our joint recent work with R.Mkrtchyan (arxiv:2107.08679), where we present a new expression for the partition functions of the refined Chern-Simons theory on $S^3$ for arbitrary simple gauge groups and investigate the possibility to rewrite them in terms of Vogel's universal parameters.
This investigation is aimed at the possible establishment of dualities between refined Chern-Simons and topological strings for all simple gauge groups.
We showed that for the simply laced or ADE algebras the corresponding partition functions are universal. For the non-simply laced algebras, we managed to
rewrite them in a form, which makes it possible to transform them into a product of multiple sine functions, paving a path for the future study of the corresponding dualities.
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