English

Coends in conformal field theory

Quantum Algebra 2016-04-12 v1 High Energy Physics - Theory

Abstract

The idea of "summing over all intermediate states" that is central for implementing locality in quantum systems can be realized by coend constructions. In the concrete case of systems of conformal blocks for a certain class of conformal vertex algebras, one deals with coends in functor categories. Working with these coends involves quite a few subtleties which, even though they have in principle already been understood twenty years ago, have not been sufficiently appreciated by the conformal field theory community.

Keywords

Cite

@article{arxiv.1604.01670,
  title  = {Coends in conformal field theory},
  author = {Jürgen Fuchs and Christoph Schweigert},
  journal= {arXiv preprint arXiv:1604.01670},
  year   = {2016}
}

Comments

18 pages, Hamburger Beitr. Nr. 589

R2 v1 2026-06-22T13:26:36.822Z