Klein Topological Field Theories from Group Representations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Loktev, S.A., Natanzon, S.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147393
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Klein Topological Field Theories from Group Representations / S.A. Loktev, S.M. Natanzon // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ.

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 represe...