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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Veröffentlicht in:The journal of high energy physics Jg. 2020; H. 1; S. 125 - 54
Hauptverfasser: Bah, Ibrahima, Bonetti, Federico, Minasian, Ruben, Nardoni, Emily
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020
Springer Nature B.V
Springer
SpringerOpen
Schlagworte:
Anomalies
Anomalies in Field and String Theories
Branes
Classical and Quantum Gravitation
Elementary Particles
Field theory
High energy physics
High Energy Physics - Theory
Holography
Inflow
M theory
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Anomalies in Field and String Theories
M-Theory
duality: holography
field theory: anomaly
E
geometry
dimension: 6
M-theory
M-brane: 5
topological
Riemann surface
ISSN:1029-8479, 1126-6708, 1029-8479
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP01(2020)125