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 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:
-
- University of Washington
- University of Cambridge
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1564290
- Alternate Identifier(s):
- OSTI ID: 1595213
- Grant/Contract Number:
- SC0011637
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 7 Journal Issue: 1; Journal ID: ISSN 2542-4653
- Publisher:
- SciPost Foundation
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal field theory (CFT); Dualities; Gauge theory; Global symmetries; Jordan-Wigner fermions/transformation; Quantum field theory (QFT)
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. https://doi.org/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. https://doi.org/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},
number = 1,
volume = 7,
place = {Netherlands},
year = {Wed Jul 10 00:00:00 EDT 2019},
month = {Wed Jul 10 00:00:00 EDT 2019}
}
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https://doi.org/10.21468/SciPostPhys.7.1.007
https://doi.org/10.21468/SciPostPhys.7.1.007
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