Categorification of algebraic quantum field theories
Mathematical Physics
2021-03-18 v2 High Energy Physics - Theory
Category Theory
math.MP
Abstract
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category of 2AQFTs. Examples of 2AQFTs that do not come from ordinary AQFTs via this embedding are constructed by a local gauging construction for finite groups, which admits a physical interpretation in terms of orbifold theories. A categorification of Fredenhagen's universal algebra is developed and also computed for simple examples of 2AQFTs.
Cite
@article{arxiv.2003.13713,
title = {Categorification of algebraic quantum field theories},
author = {Marco Benini and Marco Perin and Alexander Schenkel and Lukas Woike},
journal= {arXiv preprint arXiv:2003.13713},
year = {2021}
}
Comments
40 pages - Accepted for publication in Letters in Mathematical Physics