Master 3d Bosonization Duality with Boundaries

Abstract

We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning duality consistent boundary conditions used originally for Abelian dualities to dual non-Abelian Chern-Simons-matter theories with $SU$ and $U$ gauge groups and fundamental matter sectors. The cases of single species matter sectors and those with both scalars and fermions in the dual theories are considered. Generalization of our methods to $SO$ and $USp$ Chern-Simons theories is also discussed.

arXiv comment31 pages, 1 figure

References in corpus (17)

• Non-Abelian Anyons and Topological Quantum Computation
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Fermion Path Integrals And Topological Phases
• Level/rank Duality and Chern-Simons-Matter Theories
• Particle-Vortex Duality from 3d Bosonization
• Baryons, monopoles and dualities in 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
• Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions
• A Symmetry Breaking Scenario for QCD${}_3$
• Three-dimensional dualities with bosons and fermions
• Exact Boson-Fermion Duality on a 3D Euclidean Lattice
• Symmetry and duality in bosonization of two-dimensional Dirac fermions
• A master bosonization duality
• Bosonizing three-dimensional quiver gauge theories
• 3d Abelian Dualities with Boundaries
• Testing the Boson/Fermion Duality on the Three-Sphere

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• Novel 3d bosonic dualities from bosonization and holography
• Fermionization of conformal boundary states
• Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
• Mirror Symmetry and Bosonization in 2d and 3d
• Chern-Simons dualities with multiple flavors at large $N$
• Phases of Flavor Broken QCD${}_3$
• New and Old Fermionic Dualities from 3d Bosonization
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Current correlation functions from a bosonized theory in 3/2+1 dimensions