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Title: ’t Hooft anomalies and boundaries

Abstract

We argue that there is an obstruction to placing theories with ’t Hooft anomalies on manifolds with a boundary, unless the symmetry associated with the anomaly can be represented as a non-invariance under an Abelian transformation. For a two dimensional conformal field theory we further demonstrate that all anomalies except the usual trace anomaly are incompatible on a manifold with a boundary. Our findings extend a known result whereby, under mild assumptions, Lagrangian theories with chiral matter cannot be canonically quantized.

Authors:
 [1];  [2];  [2]
  1. San Francisco State Univ., San Francisco, CA (United States)
  2. Technion, Haifa (Israel)
Publication Date:
Research Org.:
San Francisco State Univ., San Francisco, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1512494
Grant/Contract Number:  
SC0013682
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Anomalies in Field and String Theories; Conformal Field Theory

Citation Formats

Jensen, Kristan, Shaverin, Evgeny, and Yarom, Amos. ’t Hooft anomalies and boundaries. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)085.
Jensen, Kristan, Shaverin, Evgeny, & Yarom, Amos. ’t Hooft anomalies and boundaries. United States. doi:10.1007/jhep01(2018)085.
Jensen, Kristan, Shaverin, Evgeny, and Yarom, Amos. Thu . "’t Hooft anomalies and boundaries". United States. doi:10.1007/jhep01(2018)085. https://www.osti.gov/servlets/purl/1512494.
@article{osti_1512494,
title = {’t Hooft anomalies and boundaries},
author = {Jensen, Kristan and Shaverin, Evgeny and Yarom, Amos},
abstractNote = {We argue that there is an obstruction to placing theories with ’t Hooft anomalies on manifolds with a boundary, unless the symmetry associated with the anomaly can be represented as a non-invariance under an Abelian transformation. For a two dimensional conformal field theory we further demonstrate that all anomalies except the usual trace anomaly are incompatible on a manifold with a boundary. Our findings extend a known result whereby, under mild assumptions, Lagrangian theories with chiral matter cannot be canonically quantized.},
doi = {10.1007/jhep01(2018)085},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
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