Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Klein Topological Field Theories from Group Representations
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Klein Topological Field Theories from Group Representations
Інший ID:
2010 Mathematics Subject Classification: 57R56; 20C05
DOI:10.3842/SIGMA.2011.070
DOI:10.3842/SIGMA.2011.070
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
564
Завантажень:
243
Анотація:
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.
