Lie group weight multiplicities from conformal field theory

Abstract

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.

12 pages, Plain TeX, no figures

References in corpus (2)

• WZW Commutants, Lattices, and Level 1 Partition Functions
• Implications of an arithmetical symmetry of the commutant for modular invariants

Cited by in corpus (4)

• Weight-Lattice Discretization of Weyl-Orbit Functions
• Discretized Weyl-orbit functions: modified multiplication and Galois symmetry
• Polytope Expansion of Lie Characters and Applications
• Galois Relations on Knot Invariants