Duality between 3D Massive Thirring and Maxwell Chern-Simons models from 2D bosonization

Abstract

Bosonization techniques are important nonperturbative tools in quantum field theory. In three dimensions they possess interesting connections to topologically ordered systems and ultimately have driven the observation of an impressive web of dualities. In this work, we use the quantum wires formalism to show how the fermion-boson mapping relating the low-energy regime of the massive Thirring model in three spacetime dimensions with the Maxwell-Chern-Simons model can be obtained from the exact bosonization in two dimensions.

9 pages, typos corrected, references added, minor clarifications, published version

References in corpus (5)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Particle-Vortex Duality from 3d Bosonization
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• More Abelian Dualities in 2+1 Dimensions
• Deriving three-dimensional bosonization and the duality web

Cited by in corpus (4)

• From Quantum Wires to the Chern-Simons Description of the Fractional Quantum Hall Effect
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Bosonization of the Thirring Model in 2+1 Dimensions
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace