Instantons, symmetries and anomalies in five dimensions

A bstract All five-dimensional non-abelian gauge theories have a U(1) I global symmetry associated with instantonic particles. We describe an obstruction to coupling U(1) I to a classical background gauge field that occurs whenever the theory has a one-form center symmetry. This is a finite-order mi...

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Bibliographic Details
Published in:	The journal of high energy physics 2021-04, Vol.2021 (4), p.1-24, Article 188
Main Authors:	Genolini, Pietro Benetti, Tizzano, Luigi
Format:	Article
Language:	eng
Subjects:	Anomalies Anomalies in Field and String Theories Classical and Quantum Gravitation Discrete Symmetries Elementary Particles Field Theories in Higher Dimensions Flavor (particle physics) Gauge theory High energy physics Instantons Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Supersymmetric Gauge Theory Symmetry
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Summary:	A bstract All five-dimensional non-abelian gauge theories have a U(1) I global symmetry associated with instantonic particles. We describe an obstruction to coupling U(1) I to a classical background gauge field that occurs whenever the theory has a one-form center symmetry. This is a finite-order mixed ’t Hooft anomaly between the two symmetries. We also show that a similar obstruction takes place in gauge theories with fundamental matter by studying twisted bundles for the ordinary flavor symmetry. We explore some general dynamical properties of the candidate phases implied by the anomaly. Finally, we apply our results to supersymmetric gauge theories in five dimensions and analyze the symmetry enhancement patterns occurring at their conjectured RG fixed points.
ISSN:	1029-8479 1029-8479