Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction

Abstract

We provide a lattice demonstration of $(2+1)$-dimensional field theory dualities relating free Dirac or Majorana fermions to strongly-interacting bosonic Chern-Simons-matter theories. Specifically, we prove the recent conjecture that $U(N)$ level-1 with $N_f$ gauged complex Wilson-Fisher scalars (where $1\le N_f\le N$) is dual to $N_f$ Dirac fermions, as well as the analogous conjecture relating $SO(N)$ theories with real Wilson-Fisher scalars to Majorana fermions for $1\le N_f\le N-2$. Furthermore, we discover new dualities that allow us to explain the interesting phase structure of the $SO(N)$ theories with $N-1$ and $N$ scalars, for all $N\ge 2$.

arXiv comment35 pages. v2: updated a citation. v3: minor correction

References in corpus (51)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Fermion Path Integrals And Topological Phases
• Chern-Simons Theory with Vector Fermion Matter
• Is the Composite Fermion a Dirac Particle?
• Deconfined quantum critical points: symmetries and dualities
• Level/rank Duality and Chern-Simons-Matter Theories
• d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories
• Particle-Vortex Duality from 3d Bosonization
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Dual Dirac liquid on the surface of the electron topological insulator
• Chern-Simons Currents and Chiral Fermions on the Lattice
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Non-factorizable Contributions to $B\to \pi \pi$ Decays
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions
• Chern Simons duality with a fundamental boson and fermion
• On S-Duality in Abelian Gauge Theory
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
• Particle-vortex duality in topological insulators and superconductors
• Phases Of Adjoint QCD${}_3$ And Dualities
• Bosonization and Mirror Symmetry
• A Symmetry Breaking Scenario for QCD${}_3$
• Nonsupersymmetric dualities from mirror symmetry
• Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator
• More Abelian Dualities in 2+1 Dimensions
• Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function
• Three-dimensional dualities with bosons and fermions
• Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$
• On some integrals over the U(N) unitary group and their large N limit
• Mirror symmetry and the half-filled Landau level
• Duality and bosonization of (2+1)d Majorana fermions
• Exact Boson-Fermion Duality on a 3D Euclidean Lattice
• Symmetry and duality in bosonization of two-dimensional Dirac fermions
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Embedding three-dimensional bosonization dualities into string theory
• A master bosonization duality
• Bosonizing three-dimensional quiver gauge theories
• 3d Abelian Dualities with Boundaries
• Lattice Dirac Fermions on a Simplicial Riemannian Manifold
• Non-Abelian bosonization and modular transformation approach to superuniversality
• Loop Models, Modular Invariance, and Three Dimensional Bosonization
• Master 3d Bosonization Duality with Boundaries
• Testing the Boson/Fermion Duality on the Three-Sphere
• Two-dimensional conductors with interactions and disorder from particle-vortex duality
• Non-Abelian Fermionization and Fractional Quantum Hall Transitions
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D

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• A Web of 2d Dualities: ${\mathbf{Z}}_2$ Gauge Fields and Arf Invariants
• Novel 3d bosonic dualities from bosonization and holography
• Metastable Vacua in Large-$N$ QCD${}_3$
• Duality family of scalar field
• Chern-Simons dualities with multiple flavors at large $N$
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden Symmetries
• Fermionic dualities with axial gauge fields
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Abelian Chern-Simons Gauge Theory on The Lattice
• A composite particle construction of the Fibonacci fractional quantum Hall state
• Phases of Flavor Broken QCD${}_3$
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• The Ultraviolet Structure of Quantum Field Theories. Part 3: Gauge Theories
• Boson-fermion duality in four dimensions
• Flavor Broken QCD${}_3$ at Large N