Universal first-order Massey product of a prefactorization algebra

TL;DR

This paper investigates the universal first-order Massey product in prefactorization algebras, providing explicit computations and applications to factorization envelopes and Chern-Simons theory.

Contribution

It introduces explicit calculations of the Massey product in the locally constant case and explores applications to mathematical physics.

Findings

Computed the universal first-order Massey product explicitly in the locally constant case.

Applied these computations to factorization envelopes on Euclidean spaces.

Connected the results to a compactification of linear Chern-Simons theory.

Abstract

This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of these structures are carried out in the locally constant case, with applications to factorization envelopes on $\mathbb{R}^m$ and a compactification of linear Chern-Simons theory on $\mathbb{R}^2\times \mathbb{S}^1$.