Lie group weight multiplicities from conformal field theory

Details Lie group weight multiplicities from conformal field theory Lie group weight multiplicities from conformal field theory

1994-12-14

arxiv.org/abs/hep-th/9412126v1

J.Phys. A28 (1995) 2617-2626

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Plain TeX, no figures

Scientific paper

10.1088/0305-4470/28/9/020

Dominant weight multiplicities of simple Lie groups are expressed in terms of
the modular matrices of Wess-Zumino-Witten conformal field theories, and
related objects. Symmetries of the modular matrices give rise to new relations
among multiplicities. At least for some Lie groups, these new relations are
strong enough to completely fix all multiplicities.

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