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.
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Avetisyan, M., Mkrtchyan, R. On partition functions of refined Chern-Simons theories on S3. J. High Energ. Phys. 2021, 33 (2021). https://doi.org/10.1007/JHEP10(2021)033
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DOI: https://doi.org/10.1007/JHEP10(2021)033