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Title: A web of 2d dualities: $${\bf Z}_2$$ gauge fields and Arf invariants

Abstract

We describe a web of well-known dualities connecting quantum field theories in d=1+1 dimensions. The web is constructed by gauging Z_2 Z 2 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.

Authors:
 [1];  [2];  [2]
  1. University of Washington
  2. University of Cambridge
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1564290
Grant/Contract Number:  
SC0011637
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Karch, Andreas, Tong, David, and Turner, Carl. A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants. Netherlands: N. p., 2019. Web. doi:10.21468/SciPostPhys.7.1.007.
Karch, Andreas, Tong, David, & Turner, Carl. A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants. Netherlands. doi:10.21468/SciPostPhys.7.1.007.
Karch, Andreas, Tong, David, and Turner, Carl. Wed . "A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants". Netherlands. doi:10.21468/SciPostPhys.7.1.007.
@article{osti_1564290,
title = {A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants},
author = {Karch, Andreas and Tong, David and Turner, Carl},
abstractNote = {We describe a web of well-known dualities connecting quantum field theories in d=1+1 dimensions. The web is constructed by gauging Z_2 Z 2 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.},
doi = {10.21468/SciPostPhys.7.1.007},
journal = {SciPost Physics Proceedings},
number = 1,
volume = 7,
place = {Netherlands},
year = {2019},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.7.1.007

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