functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
Where a vertex operator algebra encodes one chiral half of a 2d CFT, a full field algebra combines two vertex operator algebras to produce a genuine 2d CFT defined on the complex plane (i.e. on genus 0, notice that to define it on all genera one needs still more information, see at FRS-theorem).
Yi-Zhi Huang, Liang Kong, Full field algebras, Commun. Math. Phys. 272 (2007) 345-396 [arXiv:0511328, doi:10.1007/s00220-007-0224-4]
Liang Kong, Full field algebras, operads and tensor categories, Adv. Math.213:271-340, 2007 [arXiv:0603065, doi:10.1016/j.aim.2006.12.007]
Survey and review:
Liang Kong, Conformal field theory and a new geometry, in Hisham Sati, Urs Schreiber (eds.), Mathematical Foundations of Quantum Field and Perturbative String Theory, Proceedings of Symposia in Pure Mathematics 83, AMS (2011) [arXiv:1107.3649, ISBN:978-0-8218-5195-1]
Jürgen Fuchs, Christoph Schweigert, Simon Wood, Yang Yang, pp 11 of: Algebraic structures in two-dimensional conformal field theory, Encyclopedia of Mathematical Physics [arXiv:2305.02773]
Last revised on May 5, 2023 at 13:36:23. See the history of this page for a list of all contributions to it.