ChernSimonsmatter dualities with SO and USp gauge groups
In the last few years several dualities were found between the lowenergy behaviors of ChernSimonsmatter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(N) _{k} ChernSimons theories coupled to N _{f} real scalars in the fundamental representation, and SO(k) _{N+N} _{f} _{/2} coupled to N _{f} real (Majorana) fermions in the fundamental. For N _{f} = 0 these are just levelrank dualities of pure ChernSimons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. As a result, for k = 1 we get an interesting lowenergy duality between N _{f} free Majorana fermions and an SO( N) _{1} ChernSimons theory coupled to N _{f} scalar fields (with N _{f} ≤ N2).
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Weizmann Institute of Science, Rehovot (Israel)
 Institute for Advanced Study, Princeton, NJ (United States); Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (Italy)
 Princeton Univ., Princeton, NJ (United States)
 Institute for Advanced Study, Princeton, NJ (United States)
 Publication Date:
 Grant/Contract Number:
 SC0009988
 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: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Princeton Univ., NJ (United States); Weizmann Inst. of Science, Rehovot (Israel)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; grouplevel duality; mirror symmetry; fieldtheory; dimensions; models; algebras; matter; chernsimons theories; conformal field theory; duality in gauge field theories; topological states of matter; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ChernSimons Therories
 OSTI Identifier:
 1356080
 Alternate Identifier(s):
 OSTI ID: 1358369
Aharony, Ofer, Benini, Francesco, Hsin, Po Shen, and Seiberg, Nathan. ChernSimonsmatter dualities with SO and USp gauge groups. United States: N. p.,
Web. doi:10.1007/JHEP02(2017)072.
Aharony, Ofer, Benini, Francesco, Hsin, Po Shen, & Seiberg, Nathan. ChernSimonsmatter dualities with SO and USp gauge groups. United States. doi:10.1007/JHEP02(2017)072.
Aharony, Ofer, Benini, Francesco, Hsin, Po Shen, and Seiberg, Nathan. 2017.
"ChernSimonsmatter dualities with SO and USp gauge groups". United States.
doi:10.1007/JHEP02(2017)072. https://www.osti.gov/servlets/purl/1356080.
@article{osti_1356080,
title = {ChernSimonsmatter dualities with SO and USp gauge groups},
author = {Aharony, Ofer and Benini, Francesco and Hsin, Po Shen and Seiberg, Nathan},
abstractNote = {In the last few years several dualities were found between the lowenergy behaviors of ChernSimonsmatter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(N)k ChernSimons theories coupled to Nf real scalars in the fundamental representation, and SO(k)N+Nf/2 coupled to Nf real (Majorana) fermions in the fundamental. For Nf = 0 these are just levelrank dualities of pure ChernSimons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. As a result, for k = 1 we get an interesting lowenergy duality between Nf free Majorana fermions and an SO(N)1 ChernSimons theory coupled to Nf scalar fields (with Nf ≤ N2).},
doi = {10.1007/JHEP02(2017)072},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2017,
place = {United States},
year = {2017},
month = {2}
}