53 citations · 485 across the 50 of their papers we have counts for
35 papers · 1 filter
A note on universality in refined Chern-Simons theory
Andrei Mironov, Ruben Mkrtchyan
We discuss various forms of refinements of Vogel's universality in Chern-Simons theory. While the original universality applies to arbitrary simple Lie groups, its counterpart in r…
On the universal Casimir spectrum
R. L. Mkrtchyan
We conjecture the connection between and members of universal, in Vogel's sense, multiplets. The key element is the notion of the {\it vertical componentwise sum} $\oplus…
Refined Chern-Simons theory
M. Y. Avetisyan, R. L. Mkrtchyan
The partition function of refined Chern-Simons theory on 3d sphere for the exceptional gauge algebras is presented in terms of multiple sine functions. Gopakumar-Vafa (BPS) a…
Two-fold refinement of non simply laced Chern-Simons theories
M. Y. Avetisyan, R. L. Mkrtchyan
Inspired by the two-parameter Macdonald-Cherednik deformation of the formulae for non simply laced simple Lie algebras, we propose a two-fold refinement of the partition function o…
On refined Chern-Simons / topological string duality for classical gauge groups
M. Y. Avetisyan, R. L. Mkrtchyan
We present the partition function of the refined Chern-Simons theory on with arbitrary A,B,C,D gauge algebra in terms of multiple sine functions. For B and C cases this repre…
On partition functions of refined Chern-Simons theories on
M. Y. Avetisyan, R. L. Mkrtchyan
We present a new expression for the partition function of refined Chern-Simons theory on with arbitrary gauge group, which is explicitly equal to , when the coupling const…