Comments on Symmetric Mass Generation in 2d and 4d

Abstract

Symmetric mass generation is the name given to a mechanism for gapping fermions while preserving a chiral, but necessarily non-anomalous, symmetry. In this paper we describe how symmetric mass generation for continuous symmetries can be achieved using gauge dynamics in two and four dimensions. Various strong coupling effects are invoked, including known properties of supersymmetric gauge theories, specifically the phenomenon of s-confinement, and conjectured properties of non-supersymmetric chiral gauge theories.

arXiv comment24 pages. v2 and v3: typos corrected

References in corpus (49)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• The effects of interactions on the topological classification of free fermion systems
• Fermionic Symmetry Protected Topological Phases and Cobordisms
• Interacting fermionic topological insulators/superconductors in three dimensions
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• Duality, Monopoles, Dyons, Confinement and Oblique Confinement in Supersymmetric SO(N_c) Gauge Theories
• Interacting topological phases and modular invariance
• Aspects of Non-Abelian Gauge Dynamics in Two-Dimensional N=(2,2) Theories
• Eta-Invariants and Determinant Lines
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Dai-Freed anomalies in particle physics
• A new class of $(2+1)$-d topological superconductor with ${\mathbb{Z}}_8$ topological classification
• Majorana Fermions, Exact Mapping between Quantum Impurity Fixed Points with four bulk Fermion species, and Solution of the ``Unitarity Puzzle''
• Exotic Non-Supersymmetric Gauge Dynamics from Supersymmetric QCD
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms, and Dynamical Constraints via Cobordisms
• Phases of Chiral Gauge Theories
• A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
• Absence of Chiral Fermions in the Eichten--Preskill Model
• Global anomalies in the Standard Model(s) and Beyond
• On the reduction of 4d N=1 theories on S^2
• Interaction effects on 3D topological superconductors: surface topological order from vortex condensation, the 16 fold way and fermionic Kramers doublets
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Anomalous Symmetries End at the Boundary
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• A Solution to the 1+1D Gauged Chiral Fermion Problem
• A Non-Perturbative Definition of the Standard Models
• Gapped Chiral Fermions
• Lattice Formulation of the Standard Model
• Monopole-Catalysed Baryon Decay: A Boundary Conformal Field Theory Approach
• 't Hooft anomalies and boundaries
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Anomalies and symmetric mass generation for Kaehler-Dirac fermions
• $SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• On the decoupling of mirror fermions
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
• Chiral Lattice Fermions From Staggered Fields
• Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force
• What Symmetries are Preserved by a Fermion Boundary State?
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Interacting Topological Superconductors and possible Origin of $16n$ Chiral Fermions in the Standard Model
• Boundary RG Flows for Fermions and the Mod 2 Anomaly
• Quantum Information Theory of the Gravitational Anomaly
• A Novel Non-Perturbative Lattice Regularization of an Anomaly-Free $1+1d$ Chiral $SU(2)$ Gauge Theory
• Gauge interactions and topological phases of matter
• On the decoupling of mirror fermions
• Green's function Zero and Symmetric Mass Generation

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• Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities
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• Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 Kähler-Dirac fermions
• Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
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• Conformal Field Theories generated by Chern Insulators under Quantum Decoherence
• Definition and Classification of Fermi Surface Anomalies
• CT or P Problem and Symmetric Gapped Fermion Solution
• A no-go result for implementing chiral symmetries by locality-preserving unitaries in a 3 dimensional Hamiltonian lattice model of fermions
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Deconfined Quantum Criticality among Grand Unified Theories
• Fermion Mass Generation without Symmetry Breaking
• Two-dimensional gauge anomalies and $p$-adic numbers
• RG Flows in 2d Chiral Gauge Theories
• Chirality Changing RG Flows: Dynamics and Models
• Time-Reversal Anomalies of QCD${}_3$ and QED${}_3$
• Heterotic Ouroboros
• Flavor Hierarchy from Smooth Confinement