Klein Topological Field Theories from Group Representations
arXiv:0910.3813 · doi:10.3842/SIGMA.2011.070
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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