Refined Chern-Simons versus Vogel universality
High Energy Physics - Theory
2013-09-06 v2
Abstract
We study the relation between the partition function of refined SU(N) and SO(2N) Chern-Simons on the 3-sphere and the universal Chern-Simons partition function in the sense of Mkrtchyan and Veselov. We find a four-parameter generalization of the integral representation of universal Chern-Simons that includes refined SU(N) and SO(2N) Chern-Simons for special values of parameters. The large N expansion of the integral representation of refined SU(N) Chern-Simons explicitly shows the replacement of the virtual Euler characteristic of the moduli space of complex curves with a refined Euler characteristic related to the radius deformed c=1 string free energy.
Keywords
Cite
@article{arxiv.1304.7873,
title = {Refined Chern-Simons versus Vogel universality},
author = {Daniel Krefl and Albert Schwarz},
journal= {arXiv preprint arXiv:1304.7873},
year = {2013}
}
Comments
18 pages; v2: Some clarifications and corrections