Vacuum structure of bifundamental gauge theories at finite topological angles

Abstract

We discuss possible vacuum structures of $SU(n)\times SU(n)$ gauge theories with bifundamental matters at finite $\theta$ angles. In order to give a precise constraint, a mixed 't Hooft anomaly is studied in detail by gauging the center ${\mathbb{Z}}_n$ one-form symmetry of the bifundamental gauge theory. We propose phase diagrams that are consistent with the constraints, and also give a heuristic explanation of the result based on the dual superconductor scenario of confinement.

28 pages, 6 figures; (v2) references added

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Cited by in corpus (8)

• Fractional $\theta$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• Anomaly matching in QCD thermal phase transition
• $\theta =\pi$ in $SU(N)/{\mathbb{Z}}_N$ gauge theories
• 't Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• High-temperature domain walls of QCD with imaginary chemical potentials
• $3d$ One-form Mixed Anomaly and Entanglement Entropy