A master bosonization duality

Abstract

We conjecture a new sequence of dualities between Chern-Simons gauge theories simultaneously coupled to fundamental bosons and fermions. These dualities reduce to those proposed by Aharony when the number of bosons or fermions is zero. Our conjecture passes a number of consistency checks. These include the matching of global symmetries and consistency with level/rank duality in massive phases.

29 pages, 2 figures; v2: minor improvements; v3: typos fixed

References in corpus (10)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• Seiberg Duality in Chern-Simons Theory
• Bosonization and Mirror Symmetry
• Nonsupersymmetric dualities from mirror symmetry
• More Abelian Dualities in 2+1 Dimensions
• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• Non-Abelian 3d Bosonization and Quantum Hall States
• Embedding three-dimensional bosonization dualities into string theory
• Bosonizing three-dimensional quiver gauge theories

Cited by in corpus (31)

• A Web of 2d Dualities: ${\mathbf{Z}}_2$ Gauge Fields and Arf Invariants
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Dualities and Phases of 3D N=1 SQCD
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Living on the walls of super-QCD
• Novel 3d bosonic dualities from bosonization and holography
• 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
• Master 3d Bosonization Duality with Boundaries
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Statistical interactions and boson-anyon duality in fractional quantum Hall fluids
• Chern-Simons dualities with multiple flavors at large $N$
• Deconstructing S-Duality
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D
• Boson-fermion duality in a gravitational background
• Fermion-fermion duality in 3+1 dimensions
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• New and Old Fermionic Dualities from 3d Bosonization
• Vortex counting and the quantum Hall effect
• Phases of Flavor Broken QCD${}_3$
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Phases of QCD${}_3$ with three families of fundamental flavors