Twining characters and orbit Lie algebras

Details Twining characters and orbit Lie algebras Twining characters and orbit Lie algebras

1996-12-05

arxiv.org/abs/hep-th/9612060v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX, Talk given by C. Schweigert at the XXI international colloquium on group theoretical methods in physics, July

Scientific paper

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.

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