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Title: Chern-Simons-matter dualities with SO and USp gauge groups

In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter 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 Chern-Simons 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 level-rank dualities of pure Chern-Simons 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 low-energy duality between N f free Majorana fermions and an SO( N) 1 Chern-Simons theory coupled to N f scalar fields (with N fN-2).
 [1] ;  [2] ;  [3] ;  [4]
  1. Weizmann Institute of Science, Rehovot (Israel)
  2. Institute for Advanced Study, Princeton, NJ (United States); Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (Italy)
  3. Princeton Univ., Princeton, NJ (United States)
  4. Institute for Advanced Study, Princeton, NJ (United States)
Publication Date:
Grant/Contract Number:
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 1029-8479
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) (SC-22); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; group-level duality; mirror symmetry; field-theory; dimensions; models; algebras; matter; chern-simons theories; conformal field theory; duality in gauge field theories; topological states of matter; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Chern-Simons Therories
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1358369