The genus one Complex Quantum Chern-Simons representation of the Mapping Class Group
Quantum Algebra
2016-12-26 v2
Abstract
In this paper we compute explicitly, following Witten's prescription, the quantum representation of the mapping class group in genus one for complex quantum Chern-Simons theory associated to any simple and simply connected complex gauge group . We use a generalization of the Weil-Gel'fand-Zak transform to exhibit an explicit expression for the representation.
Cite
@article{arxiv.1608.06872,
title = {The genus one Complex Quantum Chern-Simons representation of the Mapping Class Group},
author = {Jørgen Ellegaard Andersen and Simone Marzioni},
journal= {arXiv preprint arXiv:1608.06872},
year = {2016}
}
Comments
The results of the first version of the paper for the group SL(2,C) has all been generalised to hold for any simple and simply connected complex group