Klein Topological Field Theories from Group Representations

Symmetry Integrability and Geometry-Methods and Applications

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

【 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