Gauging 1-form center symmetries in simple $SU(N)$ gauge theories

Abstract

Consequences of gauging exact $Z_k^C$ center symmetries in several simple $SU(N)$ gauge theories, where $k$ is a divisor of $N$, are investigated. Models discussed include: the $SU(N)$ gauge theory with $N_f$ copies of Weyl fermions in self-adjoint single-column antisymmetric representation, the well-discussed adjoint QCD, QCD-like theories in which the quarks are in a two-index representation of $SU(N)$, and a chiral $SU(N)$ theory with fermions in the symmetric as well as in anti-antisymmetric representations but without fundamentals. Mixed 't Hooft anomalies between the 1-form $Z_k^C$ symmetry and some 0-form (standard) discrete symmetry provide us with useful information about the infrared dynamics of the system. In some cases they give decisive indication to select only few possiblities for the infrared phase of the theory.

arXiv comment39 pages

References in corpus (28)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Generalized Global Symmetries
• Coupling a QFT to a TQFT and Duality
• Reading between the lines of four-dimensional gauge theories
• Theta, Time Reversal, and Temperature
• Walking in the SU(N)
• Exploring 2-Group Global Symmetries
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• INSTANTON CALCULATIONS VERSUS EXACT RESULTS IN 4 DIMENSIONAL SUSY GAUGE THEORIES.
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Walls, Anomalies, and (De)Confinement in Quantum Anti-Ferromagnets
• Modifying the Sum Over Topological Sectors and Constraints on Supergravity
• Discrete Anomaly Matching
• Anomaly matching for phase diagram of massless ${\mathbb{Z}}_N$-QCD
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Adjoint QCD${}_4$, Deconfined Critical Phenomena, Symmetry-Enriched Topological Quantum Field Theory, and Higher Symmetry-Extension
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• Two-flavor adjoint QCD
• Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• Patterns of Symmetry Breaking in Chiral "QCD"
• 't Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
• A possible phase for adjoint QCD
• Remarks on Adjoint QCD with k Flavors, k>= 2
• Self-conjugate QCD
• Center symmetry and area laws
• Calculating Gluino Condensates in $\mathcal{N}=1$ SYM from Seiberg-Witten Curves

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• Symmetries and Strings of Adjoint QCD${}_2$
• Some Exact Results in Chiral Gauge Theories
• Generalized 't Hooft anomalies on non-spin manifolds
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• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories
• Semiclassics with 't Hooft flux background for QCD with $2$-index quarks
• Deconfinement on axion domain walls
• The gaugino condensate from asymmetric four-torus with twists
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Strong anomaly and phases of chiral gauge theories
• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Dynamical Abelianization and anomalies in chiral gauge theories
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Phase structure of linear quiver gauge theories from anomaly matching
• Consistency of $\chi$SB in chiral Yang-Mills theory with adiabatic continuity
• Generalized symmetry constraints on deformed 4d (S)CFTs