Partition functions, mapping class groups and Drinfeld doubles
High Energy Physics - Theory
2013-02-20 v2 Quantum Algebra
Abstract
Higher genus partition functions of two-dimensional conformal field theories have to be invariants under linear actions of mapping class groups. We illustrate recent results [4,6] on the construction of such invariants by concrete expressions obtained for the case of Drinfeld doubles of finite groups. The results for doubles are independent of the characteristic of the underlying field, and the general results do not require any assumptions of semisimplicity.
Cite
@article{arxiv.1212.6916,
title = {Partition functions, mapping class groups and Drinfeld doubles},
author = {Jens Fjelstad and Jurgen Fuchs and Christoph Schweigert and Carl Stigner},
journal= {arXiv preprint arXiv:1212.6916},
year = {2013}
}
Comments
Slightly extended version of contribution to the Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics (Tianjin, August 2012). v2: typos corrected