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Gluing. Part I. Integrals and symmetries

Dedushenko, Mykola (2020) Gluing. Part I. Integrals and symmetries. Journal of High Energy Physics, 2020 (4). Art. No. 175. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20200428-152112422

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Abstract

We review some aspects of the cutting and gluing law in local quantum field theory (QFT) and study it from a new point of view. In particular, we emphasize the description of gluing by a path integral over a space of polarized boundary conditions, which are given by leaves of some Lagrangian foliation in the phase space. We think of this path integral as a non-local (d − 1)-dimensional gluing theory associated to the parent local d-dimensional QFT. This is a novel point of view paving the way for applications of the standard QFT techniques (that do not rely on locality) to the gluing theory. We describe various properties of this procedure and spell out conditions under which symmetries of the parent theory lead to symmetries of the gluing theory. The purpose of this paper is to set up a playground for the companion paper where these techniques are applied to obtain new results in supersymmetric theories.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/jhep04(2020)175DOIArticle
https://arxiv.org/abs/1807.04274arXivDiscussion Paper
ORCID:
AuthorORCID
Dedushenko, Mykola0000-0002-9273-7602
Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 24, 2020; Accepted: April 11, 2020; Published: April 27, 2020. The author thanks Jorgen E. Andersen, Tudor Dimofte, Yale Fan, Bruno Le Floch, Davide Gaiotto, Sergei Gukov, Alexei Morozov, Silviu Pufu, Gustavo J. Turiaci, Ran Yacoby for discussions. The author also thanks Tudor Dimofte and Davide Gaiotto for comments on the draft. This work was supported by the Walter Burke Institute for Theoretical Physics and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, as well as the Sherman Fairchild Foundation.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:Gauge Symmetry, Global Symmetries, Anomalies in Field and String Theories, Topological Field Theories
Issue or Number:4
Record Number:CaltechAUTHORS:20200428-152112422
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200428-152112422
Official Citation:Dedushenko, M. Gluing. Part I. Integrals and symmetries. J. High Energ. Phys. 2020, 175 (2020). https://doi.org/10.1007/JHEP04(2020)175
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102892
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Apr 2020 22:27
Last Modified:28 Apr 2020 22:27

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