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

A bstract 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....

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Veröffentlicht in:The journal of high energy physics 2017-02, Vol.2017 (2), p.1-30, Article 72
Hauptverfasser: Aharony, Ofer, Benini, Francesco, Hsin, Po-Shen, Seiberg, Nathan
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Benini, Francesco
Hsin, Po-Shen
Seiberg, Nathan
description A bstract 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 theories 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. 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 f ≤ N − 2).
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subjects algebras
Boundaries
chern-simons theories
Chern-Simons Therories
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
conformal field theory
dimensions
duality in gauge field theories
Elementary Particles
Fermions
field-theory
Gages
Gauges
group-level duality
High energy physics
Insulators
Low energy
matter
mirror symmetry
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Representations
Scalars
String Theory
topological states of matter
title Chern-Simons-matter dualities with SO and USp gauge groups
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