Mirror Symmetry and Bosonization in 2d and 3d
High Energy Physics - Theory
2019-06-14 v2 Strongly Correlated Electrons
Abstract
We study a supersymmetry breaking deformation of the 2d N=(2,2) cigar=Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-Gordon respectively. The exact bosonization map emerges at one-loop. We further compactify non-supersymmetric 3d bosonization dualities on a circle and argue that these too flow to 2d bosonization at long distances.
Keywords
Cite
@article{arxiv.1805.00941,
title = {Mirror Symmetry and Bosonization in 2d and 3d},
author = {Andreas Karch and David Tong and Carl Turner},
journal= {arXiv preprint arXiv:1805.00941},
year = {2019}
}
Comments
13 pages. v2: addendum on emergence of Z2 gauge fields upon compactification