Coloring Operads for Algebraic Field Theory

Autor:	Bruinsma, Simen
Rok vydání:	2019
Předmět:	High Energy Physics - Theory Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
DOI:	10.1002/prop.201910004
Popis:	In these proceedings we summarize previous work where we formalize a general concept of algebraic field theories using operads. After giving a gentle reminder of algebraic quantum field theory, operads and their algebras, we construct field theory operads, whose algebras are exactly algebraic field theories. Specifically, they satisfy a suitable version of the Einstein causality axiom. From this construction we get adjunctions between different types of field theories, including adjunctions related to local-to-global extensions and the time-slice axiom, and a quantization functor for linear field theories that is compatible with these structures. We also take first steps towards a derived linear quantization functor. Comment: 13 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.02863 Zobrazit plný text záznamu View this record from Arxiv