3d N = 2 $$ \mathcal{N}=2 $$ minimal SCFTs from wrapped M5-branes

Abstract We study CFT data of 3-dimensional superconformal field theories (SCFTs) arising from wrapped two M5-branes on closed hyperbolic 3-manifolds. Via so-called 3d/3d correspondence, central charges of these SCFTs are related to a SL(2) Chern-Simons (CS) invariant on the 3-manifolds. After developing a state-integral model for the invariant, we numerically evaluate the central charges for several closed 3-manifolds with small hyperbolic volume. The computation suggests that the wrapped M5-brane systems give infinitely many discrete SCFTs with small central charges.