May 10, 2022

Speaker: Dongmin Gang (SNU)

Title: Infrared phases of 3D class R theories

Abstract: We study IR phases of 3D class R theory associated to closed non-hyperbolic 3-manifolds. Non-hyperbolic 3-manifolds can be obtained by performing Dehn fillings on 1-cusped hyperbolic 3-manifolds along exceptional slopes. In 3D-3D correspondence, the `exceptional' Dehn filling corresponds to the gauging of an SU(2) flavor symmetry in a superconformal field theory associated to a 1-cusped 3-manifold with `small' Chern-Simons levels. With several explicit examples, we analyze various interesting non-perturbative IR phenomena (such as spontaneous SUSY breaking, generation of mass gap and supersymmetry enhancement) from the `exceptional' gaugings. Interestingly, distinguished features of the IR phases can be captured by simple topological properties of non-hyperbolic 3-manifolds. We also find that 3D class R theories associated to certain classes of atoroidal non-hyperbolic manifolds always exhibit supersymmetry enhancement at low energy and actually flow to 3D rank 0 N=4 SCFTs with trivial vacuum moduli space.