Abstract

Factorization algebras play a central role in the formulation of quantum field theories given by Kevin Costello and Owen Gwilliam. In this paper, we propose a concrete construction of a topological operator using their formulation. We focus on a shift symmetry of a 1D massless scalar theory and discuss its $\mathbb {Z}$-gauging, i.e. compact scalar theory and its $\theta$-vacuum.

Details

Title
A Concrete Construction of a Topological Operator in Factorization Algebras
Author
Kawahira, Masashi 1 

 Yukawa Institute for Theoretical Physics, Kyoto University Kitashirakawa Oiwakecho,Sakyo-ku, Kyoto 606-8502 , Japan 
Publication year
2024
Publication date
Dec 2024
Publisher
Oxford University Press
e-ISSN
20503911
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3168778868
Copyright
© The Author(s) 2024. Published by Oxford University Press on behalf of the Physical Society of Japan. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.