Klein Topological Field Theories from Group Representations

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ID: 23806
2011
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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.
Reference Key
loktev2011kleinsymmetry Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Loktev, Sergey A.;Natanzon, Sergey M.;
Journal symmetry, integrability and geometry: methods and applications
Year 2011
DOI
DOI not found
URL
http://dx.doi.org/10.3842/SIGMA.2011.070
Keywords Keywords not found

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