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Title: Mirror symmetry and bosonization in 2d and 3d

Abstract

We study a supersymmetry breaking deformation of the 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.

Authors:
 [1];  [2];  [2]
  1. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
  2. Univ. of Cambridge (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1499382
Alternate Identifier(s):
OSTI ID: 1595212
Grant/Contract Number:  
SC0011637
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chern-Simons Theories; Duality in Gauge Field Theories; Field Theories in Lower Dimensions; Supersymmetric Gauge Theory

Citation Formats

Karch, Andreas, Tong, David, and Turner, Carl. Mirror symmetry and bosonization in 2d and 3d. United States: N. p., 2018. Web. doi:10.1007/jhep07(2018)059.
Karch, Andreas, Tong, David, & Turner, Carl. Mirror symmetry and bosonization in 2d and 3d. United States. doi:10.1007/jhep07(2018)059.
Karch, Andreas, Tong, David, and Turner, Carl. Mon . "Mirror symmetry and bosonization in 2d and 3d". United States. doi:10.1007/jhep07(2018)059. https://www.osti.gov/servlets/purl/1499382.
@article{osti_1499382,
title = {Mirror symmetry and bosonization in 2d and 3d},
author = {Karch, Andreas and Tong, David and Turner, Carl},
abstractNote = {We study a supersymmetry breaking deformation of the 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.},
doi = {10.1007/jhep07(2018)059},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}

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Cited by: 4 works
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    Works referencing / citing this record:

    A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants
    journal, January 2019