English

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

High Energy Physics - Theory 2018-07-27 v2 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.1803.00480,
  title  = {Duality between 3D Massive Thirring and Maxwell Chern-Simons models from 2D bosonization},
  author = {Carlos A. Hernaski and Pedro R. S. Gomes},
  journal= {arXiv preprint arXiv:1803.00480},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-23T00:38:23.778Z