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arXiv · 0910.3813

Klein Topological Field Theories from Group Representations

Sergey A. Loktev·Sergey M. Natanzon
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Abstract

We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the projective plane in this theory with the Frobenius-Schur indicator on the representation. We relate any complex simple Klein TFT to a real division ring.

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BibTeXRIS

Sergey A. Loktev, Sergey M. Natanzon. 2009-10-20. Klein Topological Field Theories from Group Representations. https://doi.org/10.3842/sigma.2011.070

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