Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls

Abstract

We study the discrete chiral- and center-symmetry 't Hooft anomaly matching in the charge-$q$ two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators involves a central extension, implying the existence of $q$ vacua, and that the chiral and center symmetries are spontaneously broken. We then argue that an axial version of the $q$$=$$2$ model appears in the worldvolume theory on domain walls between center-symmetry breaking vacua in the high-temperature $SU(2)$ $\mathcal{N}$$=$$1$ super-Yang-Mills theory and that it inherits the discrete 't Hooft anomalies of the four-dimensional bulk. The Schwinger model results suggest that the high-temperature domain wall exhibits a surprisingly rich structure: it supports a non-vanishing fermion condensate and perimeter law for spacelike Wilson loops, thus mirroring many properties of the strongly coupled four-dimensional low-temperature theory. We also discuss generalizations to theories with multiple adjoint fermions and possible lattice tests.

19 pages, references added, matches the published version in JHEP

References in corpus (11)

• Generalized Global Symmetries
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1{)}^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations
• Circle compactification and 't Hooft anomaly
• Two-flavor adjoint QCD
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
• Candidate Phases for SU(2) Adjoint QCD${}_4$ with Two Flavors from $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• C-P-T anomaly matching in bosonic quantum field theory and spin chains
• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Dihedral symmetry in $SU(N)$ Yang-Mills theory

Cited by in corpus (45)

• Modified instanton sum in QCD and higher-groups
• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• Fractional $\theta$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model
• On the baryon-color-flavor (BCF) anomaly in vector-like theories
• Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
• Undoing decomposition
• Anomaly matching in QCD thermal phase transition
• Lifetimes of (near) eternal false vacua
• Higgs-confinement phase transitions with fundamental representation matter
• Vacuum Structure of Charge k Two-Dimensional QED and Dynamics of an Anti D-String Near an O1- plane
• Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Generalized 't Hooft anomalies on non-spin manifolds
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• 't Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate
• Gauging 1-form center symmetries in simple $SU(N)$ gauge theories
• New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• The gaugino condensate from asymmetric four-torus with twists
• Deconfinement and CP-breaking at $\theta =\pi$ in Yang-Mills theories and a novel phase for SU(2)
• Effective gauge theories of superfluidity with topological order
• Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
• Lattice gauge theory for Haldane conjecture and central-branch Wilson fermion
• DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly
• Condensates and anomaly cascade in vector-like theories
• 1-form symmetry versus large N QCD
• High-temperature domain walls of QCD with imaginary chemical potentials
• Self-conjugate QCD
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Anomalies and phases of strongly-coupled chiral gauge theories: recent developments
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• Four-fermion deformations of the massless Schwinger model and confinement
• Dynamical Abelianization and anomalies in chiral gauge theories
• String tension and robustness of confinement properties of in the Schwinger-Thirring model
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Topological mass generation in gapless systems
• Phase structure of linear quiver gauge theories from anomaly matching
• Monopole-vortex continuity of $\mathcal{N}=1$ super Yang-Mills theory on ${\mathbb{R}}^2\times S^1\times S^1$ with 't Hooft twist
• Confinement on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ and Double-String Collapse
• Musings on the Current Status of HEP
• Negative string tension of higher-charge Schwinger model via digital quantum simulation
• Vacuum Structures Revisited
• Universal Deformations
• The mixed $0$-form/$1$-form anomaly in Hilbert space: pouring new wine into old bottles