Bosonization and Mirror Symmetry
Abstract
We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we dynamically obtain the bosonization duality that equates the theory of a free Dirac fermion to QED3 with a single scalar boson. This duality may be used to demonstrate the bosonization duality relating an -symmetric Wilson-Fisher fixed point to QED3 with a single Dirac fermion, Peskin-Dasgupta-Halperin duality, and the recently conjectured duality relating the theory of a free Dirac fermion to fermionic QED3 with a single flavor. Chern-Simons and BF couplings for both dynamical and background gauge fields play a central role in our approach. In the course of our study, we describe a chiral mirror pair that may be viewed as the minimal supersymmetric generalization of the two bosonization dualities.
Cite
@article{arxiv.1608.05077,
title = {Bosonization and Mirror Symmetry},
author = {Shamit Kachru and Michael Mulligan and Gonzalo Torroba and Huajia Wang},
journal= {arXiv preprint arXiv:1608.05077},
year = {2016}
}
Comments
24 pages, 2 figures, 1 appendix