Atwisted correlators and Hori dualities
The HoriTong and Hori dualities are infrared dualities between twodimensional gauge theories with N = (2, 2) supersymmetry, which are reminiscent of fourdimensional 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 Atwist. 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]}
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Dept.
 Univ. of Milan, Milano (Italy). Dept. di Fisica; Istituto Nazionale di Fisica Nucleare (INFN), Milano (Italy)
 Rutgers Univ., Piscataway, NJ (United States). NHETC and Dept. of Physics and Astronomy
 Publication Date:
 Grant/Contract Number:
 SC0010008
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Rutgers Univ., Piscataway, NJ (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 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
 OSTI Identifier:
 1474129
Closset, Cyril, Mekareeya, Noppadol, and Park, Daniel S. Atwisted correlators and Hori dualities. United States: N. p.,
Web. doi:10.1007/JHEP08(2017)101.
Closset, Cyril, Mekareeya, Noppadol, & Park, Daniel S. Atwisted correlators and Hori dualities. United States. doi:10.1007/JHEP08(2017)101.
Closset, Cyril, Mekareeya, Noppadol, and Park, Daniel S. 2017.
"Atwisted correlators and Hori dualities". United States.
doi:10.1007/JHEP08(2017)101. https://www.osti.gov/servlets/purl/1474129.
@article{osti_1474129,
title = {Atwisted correlators and Hori dualities},
author = {Closset, Cyril and Mekareeya, Noppadol and Park, Daniel S.},
abstractNote = {The HoriTong and Hori dualities are infrared dualities between twodimensional gauge theories with N = (2, 2) supersymmetry, which are reminiscent of fourdimensional 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 Atwist. 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 Z2twisted 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}
}