3d Abelian Dualities with Boundaries

Abstract

We establish the action of three-dimensional bosonization and particle-vortex duality in the presence of a boundary, which supports a non-anomalous two-dimensional theory. We confirm our prescription using a microscopic realization of the duality in terms of a Euclidean lattice.

31 pages

References in corpus (3)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• More Abelian Dualities in 2+1 Dimensions

Cited by in corpus (25)

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• Fermionization of conformal boundary states
• Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Mirror Symmetry and Bosonization in 2d and 3d
• Master 3d Bosonization Duality with Boundaries
• 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
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Charting the phase diagram of QCD${}_3$
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Boson-fermion duality in a gravitational background
• Geometric Approach to 3D Interfaces at Strong Coupling
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Phases of Flavor Broken QCD${}_3$
• New and Old Fermionic Dualities from 3d Bosonization
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Zero Modes of Massive Fermions Delocalize from Axion Strings
• Boundary gauge and gravitational anomalies from Ward identities
• Phases of QCD${}_3$ with three families of fundamental flavors