Lie algebra automorphisms in conformal field theory

Details Lie algebra automorphisms in conformal field theory Lie algebra automorphisms in conformal field theory

2000-11-21

arxiv.org/abs/math/0011160v1

Mathematics

Quantum Algebra

29 pages, LaTeX2e

Scientific paper

The role of automorphisms of infinite-dimensional Lie algebras in conformal field theory is examined. Two main types of applications are discussed; they are related to the enhancement and reduction of symmetry, respectively. The structures one encounters also appear in other areas of physics and mathematics. In particular, they lead to two conjectures on the sub-bundle structure of chiral blocks, and they are instrumental in the study of conformally invariant boundary conditions.

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