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A Web of 2d Dualities: Z2 Gauge Fields and Arf Invariants

by Andreas Karch, David Tong, Carl Turner

Submission summary

As Contributors: David Tong
Arxiv Link: https://arxiv.org/abs/1902.05550v2
Date submitted: 2019-04-05
Submitted by: Tong, David
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory

Abstract

We describe a web of well-known dualities connecting quantum field theories in d=1+1 dimensions. The web is constructed by gauging Z2 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 c=1 CFTs that depend on a background spin structure.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1902.05550v2 on 5 April 2019

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