From Dynkin diagram symmetries to fixed point structures

Details From Dynkin diagram symmetries to fixed point structures From Dynkin diagram symmetries to fixed point structures

1995-06-20

arxiv.org/abs/hep-th/9506135v3

Commun.Math.Phys. 180 (1996) 39-98

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 60 pages (extended version 63 pages), 4 uuencoded figures Formula (6.25) corrected. While this correction might be impo

Scientific paper

10.1007/BF02101182

Any automorphism of the Dynkin diagram of a symmetrizable Kac-Moody algebra induces an automorphism of the algebra and a mapping between its highest weight modules. For a large class of such Dynkin diagram automorphisms, we can describe various aspects of these maps in terms of another Kac-Moody algebra, the `orbit Lie algebra'. In particular, the generating function for the trace of the map on modules, the `twining character', is equal to a character of the orbit Lie algebra. Orbit Lie algebras and twining characters constitute a crucial step towards solving the fixed point resolution problem in conformal field theory.

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