Refined Chern-Simons versus Vogel universality

被引：15

作者：

Krefl, Daniel ^{[1
]}

Schwarz, Albert ^{[2
]}

机构：

[1] Univ Calif Berkeley, Ctr Theoret Phys, Berkeley, CA 94720 USA

[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2013年 / 74卷

基金：

美国国家科学基金会;

关键词：

Refinement; Chern-Simons theory; Topological strings;

D O I：

10.1016/j.geomphys.2013.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2013 Elsevier RV. All rights reserved.

引用

页码：119 / 129

页数：11

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