English

Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory

Category Theory 2007-05-23 v4 Mathematical Physics math.MP

Abstract

In this paper I develop categorical foundations needed for a rigorous approach to the definition of conformal field theory outlined by Graeme Segal. I discuss pseudo algebras over theories and 2-theories, their pseudo morphisms, bilimits, bicolimits, biadjoints, stacks, and related concepts.

Keywords

Cite

@article{arxiv.math/0408298,
  title  = {Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory},
  author = {Thomas M. Fiore},
  journal= {arXiv preprint arXiv:math/0408298},
  year   = {2007}
}

Comments

171 pages. Index added, some references added, format improved. This work has been published in the Memoirs of the American Mathematical Society