Twining characters and orbit Lie algebras
High Energy Physics - Theory
2007-05-23 v1
Abstract
We associate to outer automorphisms of generalized Kac-Moody algebras generalized character-valued indices, the twining characters. A character formula for twining characters is derived which shows that they coincide with the ordinary characters of some other generalized Kac-Moody algebra, the so-called orbit Lie algebra. Some applications to problems in conformal field theory, algebraic geometry and the theory of sporadic simple groups are sketched.
Cite
@article{arxiv.hep-th/9612060,
title = {Twining characters and orbit Lie algebras},
author = {J. Fuchs and U. Ray and A. N. Schellekens and C. Schweigert},
journal= {arXiv preprint arXiv:hep-th/9612060},
year = {2007}
}
Comments
6 pages, LaTeX, Talk given by C. Schweigert at the XXI international colloquium on group theoretical methods in physics, July 1996, Goslar, Germany