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

TL;DR

This paper demonstrates how the duality between the 3D massive Thirring model and the Maxwell-Chern-Simons model can be derived from 2D bosonization techniques using quantum wires, highlighting the deep connections in topological quantum field theories.

Contribution

It provides a novel derivation of the 3D duality from 2D bosonization, bridging nonperturbative methods and topological models in quantum field theory.

Findings

Established the fermion-boson mapping in 3D from 2D bosonization.

Connected quantum wires formalism to topological dualities.

Enhanced understanding of nonperturbative dualities in quantum field theories.

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.