Anomalies of QFTs from M-theory and holography

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 ge...

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Main Authors: Bah, I, Bonetti, F, Minasian, R, Nardoni, E
Format: Journal article
Language:English
Published: Springer Nature 2020
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author Bah, I
Bonetti, F
Minasian, R
Nardoni, E
author_facet Bah, I
Bonetti, F
Minasian, R
Nardoni, E
author_sort Bah, I
collection OXFORD
description 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.
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spelling oxford-uuid:f4bcec07-129b-4044-8f9b-07134dc9efa72022-07-08T16:41:01ZAnomalies of QFTs from M-theory and holographyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f4bcec07-129b-4044-8f9b-07134dc9efa7EnglishSymplectic ElementsSpringer Nature2020Bah, IBonetti, FMinasian, RNardoni, EWe 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.
spellingShingle Bah, I
Bonetti, F
Minasian, R
Nardoni, E
Anomalies of QFTs from M-theory and holography
title 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_short Anomalies of QFTs from M-theory and holography
title_sort anomalies of qfts from m theory and holography
work_keys_str_mv AT bahi anomaliesofqftsfrommtheoryandholography
AT bonettif anomaliesofqftsfrommtheoryandholography
AT minasianr anomaliesofqftsfrommtheoryandholography
AT nardonie anomaliesofqftsfrommtheoryandholography