Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coloring Operads for Algebraic Field Theory   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.

35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat