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Journal of High Energy Physics

, 2018:68 | Cite as

Three-dimensional dualities with bosons and fermions

Open Access
Regular Article - Theoretical Physics

Abstract

We propose new infinite families of non-supersymmetric IR dualities in three space-time dimensions, between Chern-Simons gauge theories (with classical gauge groups) with both scalars and fermions in the fundamental representation. In all cases we study the phase diagram as we vary two relevant couplings, finding interesting lines of phase transitions. In various cases the dualities lead to predictions about multi-critical fixed points and the emergence of IR quantum symmetries. For unitary groups we also discuss the coupling to background gauge fields and the map of simple monopole operators.

Keywords

Chern-Simons Theories Duality in Gauge Field Theories Global Symmetries Topological States of Matter 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.SISSATriesteItaly
  2. 2.INFN, Sezione di TriesteTriesteItaly
  3. 3.School of Natural SciencesInstitute for Advanced StudyPrincetonU.S.A.

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