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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 070, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.070 (Mi sigma628) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Klein Topological Field Theories from Group Representations

Sergey A. Loktevab, Sergey M. Natanzoncab

a Institute of Theoretical and Experimental Physics, 25 Bolshaya Cheremushkinskaya Str., Moscow 117218, Russia
b Department of Mathematics, Higher School of Economics, 7 Vavilova Str., Moscow 117312, Russia
c A. N. Belozersky Institute, Moscow State University, Leninskie Gory 1, Bldg. 40, Moscow 119991, Russia
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DOI: https://doi.org/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.
Keywords: topological quantum field theory; group representation.
Received: December 15, 2010; in final form July 4, 2011; Published online July 16, 2011
Bibliographic databases:
Document Type: Article
MSC: 57R56; 20C05
Language: English
Citation: Sergey A. Loktev, Sergey M. Natanzon, “Klein Topological Field Theories from Group Representations”, SIGMA, 7 (2011), 070, 15 pp.
Citation in format AMSBIB
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\paper Klein Topological Field Theories from Group Representations
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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