Partition functions, mapping class groups and Drinfeld doubles

Jens Fjelstad; Jurgen Fuchs; Christoph Schweigert; Carl Stigner

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arXiv · 1212.6916

Partition functions, mapping class groups and Drinfeld doubles

Jens Fjelstad·Jurgen Fuchs·Christoph Schweigert·Carl Stigner

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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.

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Jens Fjelstad, Jurgen Fuchs, Christoph Schweigert, Carl Stigner. 2013-02-19. Partition functions, mapping class groups and Drinfeld doubles. https://arxiv.org/abs/1212.6916

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