Causally Disjoint Discs: Another $\mathbb{E}_n$-operad
Quantum Algebra
2026-05-07 v3 Mathematical Physics
Algebraic Topology
math.MP
Abstract
Motivated by (perturbative) quantum observables in Lorentzian signature we define a new operad: the operad of causally disjoint disks. In order to describe this operad we use the orthogonal categories of Benini, Schenkel, and Woike and the prefactorization functor of Benini, Carmona, Grant-Stuart, and Schenkel. Along the way we extend these constructions to the topological setting, i.e., (multi-)categories enriched over spaces.
Cite
@article{arxiv.2412.20333,
title = {Causally Disjoint Discs: Another $\mathbb{E}_n$-operad},
author = {Ryan Grady},
journal= {arXiv preprint arXiv:2412.20333},
year = {2026}
}
Comments
v3: minor changes