Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory
Thomas M. Fiore
TL;DR
This paper develops categorical foundations, including pseudo algebras and biadjoints, to rigorously formalize conformal field theory as outlined by Segal.
Contribution
It introduces a comprehensive categorical framework with pseudo algebras, stacks, and biadjoints for formalizing conformal field theory.
Findings
Established pseudo algebra structures over theories and 2-theories
Developed concepts of bilimits, bicolimits, and biadjoints in this context
Provided foundational tools for rigorous conformal field theory
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topology and Set Theory