Anomalies in the space of coupling constants and their dynamical applications II
By Clay Córdova, D. Freed, Ho Tat Lam, N. Seiberg. SciPost Physics, 2019
229 citations recorded by the source corpus.
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 \thetaθ-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)SU(N) and Sp(N)Sp(N) gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the \thetaθ-periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7882e4f43539a607936dde93b7b8be4320ade446
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Citations in the corpus
- Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases (2019, background): “The obvious usefulness of anomalies have led to various generalizations of the concept beyond ordinary notions of symmetry, including higher form symmetries [23,32] and anomalies associated with a parameter space [12].”