Klein Topological Field Theories from Group Representations

Symmetry, Integrability and Geometry: Methods and Applications. 2011;7:070


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Journal Title: Symmetry, Integrability and Geometry: Methods and Applications

ISSN: 1815-0659 (Online)

Publisher: National Academy of Science of Ukraine

LCC Subject Category: Science: Mathematics

Country of publisher: Ukraine

Language of fulltext: English

Full-text formats available: PDF



Sergey A. Loktev
Sergey M. Natanzon


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Time From Submission to Publication: 12 weeks


Abstract | Full Text

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.