Refined Chern-Simons versus Vogel universality

JOURNAL OF GEOMETRY AND PHYSICS

卷:74

Article

Krefl, Daniel¹  Schwarz, Albert² 

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

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

关键词: Refinement;    Chern-Simons theory;    Topological strings;   

DOI  :  10.1016/j.geomphys.2013.08.002

来源: Elsevier

【 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.

【 授权许可】

Free