Anomalies of QFTs from M-theory and holography

A bstract 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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Bibliographic Details
Published in:The journal of high energy physics Vol. 2020; no. 1; pp. 125 - 54
Main Authors: Bah, Ibrahima, Bonetti, Federico, Minasian, Ruben, Nardoni, Emily
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020
Springer Nature B.V
Springer
SpringerOpen
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ISSN:1029-8479, 1126-6708, 1029-8479
Online Access:Get full text
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Summary:A bstract 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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ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP01(2020)125