Phases Of Adjoint QCD${}_3$ And Dualities

Abstract

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a function of the gauge group, the Chern-Simons level $k$, and the fermion mass. We propose an inherently quantum mechanical phase of adjoint QCD with small enough $k$, where the infrared is described by a certain Topological Quantum Field Theory (TQFT). For a special choice of the mass, the theory has $\mathcal{N}=1$ supersymmetry. There this TQFT is accompanied by a massless Majorana fermion - a Goldstino signaling spontaneous supersymmetry breaking. Our analysis leads us to conjecture a number of new infrared fermion-fermion dualities involving $SU$, $SO$, and $Sp$ gauge theories. It also leads us to suggest a phase diagram of $SO/Sp$ gauge theories with a fermion in the traceless symmetric/antisymmetric tensor representation of the gauge group.

41 pages, 19 figures; new tests of the proposal and additional references. references added. small additions and typos corrected

References in corpus (13)

• Generalized Global Symmetries
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Bosonization and Mirror Symmetry
• Nonsupersymmetric dualities from mirror symmetry
• More Abelian Dualities in 2+1 Dimensions
• Non-Abelian 3d Bosonization and Quantum Hall States
• Embedding three-dimensional bosonization dualities into string theory
• Bosonizing three-dimensional quiver gauge theories
• Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors

Cited by in corpus (69)

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• Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
• Higher central charges and topological boundaries in 2+1-dimensional TQFTs
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• EFT and the SUSY Index on the 2nd Sheet
• Global Anomalies on the Hilbert Space
• Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$
• Anomalies and Symmetry Fractionalization
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• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• Subsystem Non-Invertible Symmetry Operators and Defects
• Anomaly Matching in the Symmetry Broken Phase: Domain Walls, CPT, and the Smith Isomorphism
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• Lorentz Symmetry Fractionalization and Dualities in (2+1)d
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Anomalies of Generalized Symmetries from Solitonic Defects
• Large N Renormalization Group Flows in 3d $\mathcal{N}=1$ Chern-Simons-Matter Theories
• Dualities and Phases of 3D N=1 SQCD
• Exceptional Chern-Simons-Matter Dualities
• Living on the walls of super-QCD
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Constraining momentum space correlators using slightly broken higher spin symmetry
• TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D
• From 3d dualities to hadron physics
• Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
• Metastable Vacua in Large-$N$ QCD${}_3$
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• High-temperature domain walls of QCD with imaginary chemical potentials
• Gauging Lie group symmetry in (2+1)d topological phases
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Matter Chern Simons Theories in a Background Magnetic Field
• Topological Orders in (4+1)-Dimensions
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Charting the phase diagram of QCD${}_3$
• A counterexample to the CFT convexity conjecture
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• Chern-Simons dualities with multiple flavors at large $N$
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• On a harmonic solution for two-dimensional adjoint QCD
• $QC{D}_3$ Dualities and the F-Theorem
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Dualities of Adjoint QCD${}_3$ from Branes
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• New and Old Fermionic Dualities from 3d Bosonization
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• The 3d $A$-model and generalised symmetries, Part I: bosonic Chern-Simons theories
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Cascade of phase transitions in a planar Dirac material
• Full Phase Diagram of a UV Completed $\mathcal{N}=1$ Yang-Mills-Chern-Simons Matter Theory
• Dualities of 3D $\mathcal{N}=1$ SQCD from Branes and non-SUSY deformations
• Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Punctures and p-spin curves from matrix models
• Time-Reversal Anomalies of QCD${}_3$ and QED${}_3$
• Phases of QCD${}_3$ with three families of fundamental flavors