English

Fusion rules in conformal field theory

High Energy Physics - Theory 2009-10-22 v2

Abstract

Several aspects of fusion rings and fusion rule algebras, and of their manifestations in twodimensional (conformal) field theory, are described: diagonalization and the connection with modular invariance; the presentation in terms of quotients of polynomial rings; fusion graphs; various strategies that allow for a partial classification; and the role of the fusion rules in the conformal bootstrap programme.

Keywords

Cite

@article{arxiv.hep-th/9306162,
  title  = {Fusion rules in conformal field theory},
  author = {J. Fuchs},
  journal= {arXiv preprint arXiv:hep-th/9306162},
  year   = {2009}
}

Comments

68 pages, LaTeX. changed contents of footnote no. 9

R2 v1 2026-07-22T15:46:38.722Z