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Anomalies in the Space of Coupling Constants and Their Dynamical Applications II

by Clay Cordova, Daniel S. Freed, Ho Tat Lam, Nathan Seiberg

Submission summary

As Contributors: Ho Tat Lam · Nathan Seiberg
Arxiv Link: (pdf)
Date accepted: 2019-11-05
Date submitted: 2019-10-31
Submitted by: Lam, Ho Tat
Submitted to: SciPost Physics
Discipline: Physics
Subject area: High-Energy Physics - Theory
Approach: Theoretical


We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the $\theta$-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study $SU(N)$ and $Sp(N)$ gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the $\theta$-periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.

Ontology / Topics

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Gauge theory Yang Mills Theory

Published as SciPost Phys. 8, 002 (2020)

Submission & Refereeing History

Resubmission 1905.13361v3 on 31 October 2019
Submission 1905.13361v2 on 12 September 2019

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