Three-dimensional dualities with bosons and fermions

TL;DR

This paper introduces new non-supersymmetric dualities in 3D Chern-Simons theories with scalars and fermions, exploring phase diagrams, phase transitions, and IR symmetries, with implications for multi-critical points and monopole operators.

Contribution

It presents novel infinite families of dualities involving bosons and fermions in 3D gauge theories, expanding understanding of IR dynamics and phase structures.

Findings

Identification of new dual pairs of gauge theories

Mapping of phase transitions and critical points

Predictions of emergent IR quantum symmetries

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.