English

Lie algebra automorphisms in conformal field theory

Quantum Algebra 2007-05-23 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0011160,
  title  = {Lie algebra automorphisms in conformal field theory},
  author = {J. Fuchs and C. Schweigert},
  journal= {arXiv preprint arXiv:math/0011160},
  year   = {2007}
}

Comments

29 pages, LaTeX2e

R2 v1 2026-07-22T16:35:52.028Z