Anomalies of QFTs from M-theory and holography

Anomalies of QFTs from M-theory and holography

Abstract We describe a systematic way of computing the ’t Hooft anomalies for continuous symmetries of Quantum Field Theories in even dimensions that can be geometrically engineered from M5-branes. Our approach is based on anomaly inflow, and characterizes the anomaly polynomial of the QFT in terms...

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Main Authors: Ibrahima Bah, Federico Bonetti, Ruben Minasian, Emily Nardoni
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Anomalies in Field and String Theories
M-Theory
Online Access:https://doi.org/10.1007/JHEP01(2020)125
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spelling doaj-8621d821818f44b39e3f97d9b6a167682021-01-24T12:06:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020115410.1007/JHEP01(2020)125Anomalies of QFTs from M-theory and holographyIbrahima Bah0Federico Bonetti1Ruben Minasian2Emily Nardoni3Department of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityInstitut de Physique Théorique, Université Paris SaclayMani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaAbstract We describe a systematic way of computing the ’t Hooft anomalies for continuous symmetries of Quantum Field Theories in even dimensions that can be geometrically engineered from M5-branes. Our approach is based on anomaly inflow, and characterizes the anomaly polynomial of the QFT in terms of the geometric definition of the field theory. In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in N. We study several classes of examples in four and six dimensions, with or without known M5-brane probe configurations.https://doi.org/10.1007/JHEP01(2020)125Anomalies in Field and String TheoriesM-Theory
collection DOAJ
language English
format Article
sources DOAJ
author Ibrahima Bah
Federico Bonetti
Ruben Minasian
Emily Nardoni
spellingShingle Ibrahima Bah
Federico Bonetti
Ruben Minasian
Emily Nardoni
Anomalies of QFTs from M-theory and holography
Journal of High Energy Physics
Anomalies in Field and String Theories
M-Theory
author_facet Ibrahima Bah
Federico Bonetti
Ruben Minasian
Emily Nardoni
author_sort Ibrahima Bah
title Anomalies of QFTs from M-theory and holography
title_short Anomalies of QFTs from M-theory and holography
title_full Anomalies of QFTs from M-theory and holography
title_fullStr Anomalies of QFTs from M-theory and holography
title_full_unstemmed Anomalies of QFTs from M-theory and holography
title_sort anomalies of qfts from m-theory and holography
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-01-01
description Abstract We describe a systematic way of computing the ’t Hooft anomalies for continuous symmetries of Quantum Field Theories in even dimensions that can be geometrically engineered from M5-branes. Our approach is based on anomaly inflow, and characterizes the anomaly polynomial of the QFT in terms of the geometric definition of the field theory. In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in N. We study several classes of examples in four and six dimensions, with or without known M5-brane probe configurations.
topic Anomalies in Field and String Theories
M-Theory
url https://doi.org/10.1007/JHEP01(2020)125
work_keys_str_mv AT ibrahimabah anomaliesofqftsfrommtheoryandholography
AT federicobonetti anomaliesofqftsfrommtheoryandholography
AT rubenminasian anomaliesofqftsfrommtheoryandholography
AT emilynardoni anomaliesofqftsfrommtheoryandholography
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