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Title: A-twisted correlators and Hori dualities

Abstract

The Hori-Tong and Hori dualities are infrared dualities between two-dimensional gauge theories with N = (2, 2) supersymmetry, which are reminiscent of four-dimensional Seiberg dualities. We provide additional evidence for those dualities with U( N c ), USp(2 N c ), SO( N ) and O( N ) gauge groups, by matching correlation functions of Coulomb branch operators on a Riemann surface Σ g , in the presence of the topological A-twist. The O( N ) theories studied, denoted by O +(N ) and O_( N ), can be understood as Z 2 orbifolds of an SO( N ) theory. In conclusion, the correlators of these theories on Σ g with g > 0 are obtained by computing correlators with Z 2-twisted boundary conditions and summing them up with weights determined by the orbifold projection.

Authors:
 [1];  [2];  [3]
  1. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Dept.
  2. Univ. of Milan, Milano (Italy). Dept. di Fisica; Istituto Nazionale di Fisica Nucleare (INFN), Milano (Italy)
  3. Rutgers Univ., Piscataway, NJ (United States). NHETC and Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1474129
Grant/Contract Number:  
SC0010008
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: 2017; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Field Theories in Lower Dimensions; Supersymmetry and Duality; Duality in Gauge Field Theories; Topological Field Theories

Citation Formats

Closset, Cyril, Mekareeya, Noppadol, and Park, Daniel S. A-twisted correlators and Hori dualities. United States: N. p., 2017. Web. doi:10.1007/JHEP08(2017)101.
Closset, Cyril, Mekareeya, Noppadol, & Park, Daniel S. A-twisted correlators and Hori dualities. United States. doi:10.1007/JHEP08(2017)101.
Closset, Cyril, Mekareeya, Noppadol, and Park, Daniel S. Wed . "A-twisted correlators and Hori dualities". United States. doi:10.1007/JHEP08(2017)101. https://www.osti.gov/servlets/purl/1474129.
@article{osti_1474129,
title = {A-twisted correlators and Hori dualities},
author = {Closset, Cyril and Mekareeya, Noppadol and Park, Daniel S.},
abstractNote = {The Hori-Tong and Hori dualities are infrared dualities between two-dimensional gauge theories with N = (2, 2) supersymmetry, which are reminiscent of four-dimensional Seiberg dualities. We provide additional evidence for those dualities with U(N c ), USp(2N c ), SO(N ) and O(N ) gauge groups, by matching correlation functions of Coulomb branch operators on a Riemann surface Σ g , in the presence of the topological A-twist. The O(N ) theories studied, denoted by O+(N ) and O_(N ), can be understood as Z2 orbifolds of an SO(N ) theory. In conclusion, the correlators of these theories on Σ g with g > 0 are obtained by computing correlators with Z2-twisted boundary conditions and summing them up with weights determined by the orbifold projection.},
doi = {10.1007/JHEP08(2017)101},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2017,
place = {United States},
year = {2017},
month = {8}
}

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