English

A concrete construction of a topological operator in factorization algebras

High Energy Physics - Theory 2024-12-16 v2 Mathematical Physics math.MP

Abstract

Factorization algebras play a central role in the formulation of quantum field theories given by Kevin Costello and his collaborators. In this paper, we propose a concrete construction of a topological operator in their formulation. We focus on a shift symmetry of a one-dimensional massless scalar theory. And we give some discussions of Z\mathbb{Z}-gauging of it, i.e., compact scalar theory and its θ\theta-vacuum.

Keywords

Cite

@article{arxiv.2407.21784,
  title  = {A concrete construction of a topological operator in factorization algebras},
  author = {Masashi Kawahira},
  journal= {arXiv preprint arXiv:2407.21784},
  year   = {2024}
}