Klein Topological Field Theories from Group Representations

Details Klein Topological Field Theories from Group Representations Klein Topological Field Theories from Group Representations

2009-10-20

arxiv.org/abs/0910.3813v4

SIGMA 7 (2011), 070, 15 pages

Mathematics

Representation Theory

Scientific paper

10.3842/SIGMA.2011.070

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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