Klein Topological Field Theories from Group Representations
Representation Theory
2011-07-19 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0910.3813,
title = {Klein Topological Field Theories from Group Representations},
author = {Sergey A. Loktev and Sergey M. Natanzon},
journal= {arXiv preprint arXiv:0910.3813},
year = {2011}
}