English

Three-dimensional dualities with bosons and fermions

High Energy Physics - Theory 2019-07-17 v2 Strongly Correlated Electrons

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

Cite

@article{arxiv.1712.00020,
  title  = {Three-dimensional dualities with bosons and fermions},
  author = {Francesco Benini},
  journal= {arXiv preprint arXiv:1712.00020},
  year   = {2019}
}

Comments

66 pages, 9 figures; v2: refs added

R2 v1 2026-06-22T23:02:55.487Z