A Web of 2d Dualities: ${\bf Z}_2$ Gauge Fields and Arf Invariants
High Energy Physics - Theory
2019-10-08 v5
Abstract
We describe a web of well-known dualities connecting quantum field theories in dimensions. The web is constructed by gauging global symmetries and includes a number of perennial favourites such as the Jordan-Wigner transformation, Kramers-Wannier duality, bosonization of a Dirac fermion, and T-duality. There are also less-loved examples, such as non-modular invariant CFTs that depend on a background spin structure.
Keywords
Cite
@article{arxiv.1902.05550,
title = {A Web of 2d Dualities: ${\bf Z}_2$ Gauge Fields and Arf Invariants},
author = {Andreas Karch and David Tong and Carl Turner},
journal= {arXiv preprint arXiv:1902.05550},
year = {2019}
}
Comments
29 pages plus appendices. v2: Add references and fix minor typos. v3: More typos, and an extra appendix on the reduction of bosonization from 3d to 2d. Version accepted for publication in SciPost. v4: references added