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

Understand

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.