Klein Topological Field Theories from Group Representations
| dc.contributor.author | Loktev, S.A. | |
| dc.contributor.author | Natanzon, S.M. | |
| dc.date.accessioned | 2019-02-14T17:24:55Z | |
| dc.date.available | 2019-02-14T17:24:55Z | |
| dc.date.issued | 2011 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | We are grateful to P. Deligne, B. Feigin, Yu. Manin, S. Shadrin and V. Turaev for useful discussions. Part of this work was done during the stays of S.N. at Max-Planck-Institute in Bonn, he is grateful to MPIM for their hospitality and support. The work of S.N. was partly supported by grants RFBR-11-01-00289, N.Sh-8462.2010.1 and the Russian government grant 11.G34.31.0005. The work of S.L. was partly supported by grants: N.Sh-3035.2008.2, RFBR-09-01-00242, SU-HSE award No.09-09-0009, RFBR-CNRS-07-01-92214, RFBR-IND-08-01-91300, RFBR-CNRS-09-01-93106 and P. Deligne 2004 Balzan prize in mathematics. | uk_UA |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 57R56; 20C05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2011.070 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/147393 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | uk_UA |
| dc.title | Klein Topological Field Theories from Group Representations | uk_UA |
| dc.type | Article | uk_UA |
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