Abstract
Abstract
We present a new expression for the partition function of the refined Chern-Simons theory on S3 with an arbitrary gauge group, which is explicitly equal to 1 when the coupling constant is zero. Using this form of the partition function we show that the previously known Krefl-Schwarz representation of the partition function of the refined Chern-Simons theory on S3 can be generalized to all simply laced algebras.For all non-simply laced gauge algebras, we derive similar representations of that partition function, which makes it possible to transform it into a product of multiple sine functions aiming at the further establishment of duality with the refined topological strings.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference28 articles.
1. E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351 [INSPIRE].
2. R.L. Mkrtchyan and A.P. Veselov, Universality in Chern-Simons theory, JHEP 08 (2012) 153 [arXiv:1203.0766] [INSPIRE].
3. R.L. Mkrtchyan, Nonperturbative universal Chern-Simons theory, JHEP 09 (2013) 054 [arXiv:1302.1507] [INSPIRE].
4. P. Vogel, Algebraic structures on modules of diagrams, preprint, http://www.math.jussieu.fr/∼vogel/diagrams.pdf, (1995) [J. Pure Appl. Alg. 215 (2011) 1292].
5. P. Vogel, The universal Lie algebra, preprint, https://webusers.imj-prg.fr/∼pierre.vogel/grenoble-99b.pdf, (1999).
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献