期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications
Klein Topological Field Theories from Group Representations
article
Sergey A. Loktev1  Sergey M. Natanzon1 
[1] Department of Mathematics, Higher School of Economics;Institute of Theoretical and Experimental Physics;A.N. Belozersky Institute, Moscow State University
关键词: topological quantum field theory;    group representation;   
DOI  :  10.3842/SIGMA.2011.070
来源: National Academy of Science of Ukraine
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【 摘 要 】

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.

【 授权许可】

Unknown   

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