  Using 3D-3D correspondence, we construct 3D dual bulk field theories for
general Virasoro minimal models $M(P,Q)$. These theories correspond to Seifert
fiber spaces $S^2 ((P,P-R),(Q,S),(3,1))$ with two integers $(R,S)$ satisfying
$PS-QR =1$. In the unitary case, where $|P-Q|=1$, the bulk theory has a mass
gap and flows to a unitary topological field theory (TQFT) in the IR, which is
expected to support the chiral Virasoro minimal model at the boundary under an
appropriate boundary condition. For the non-unitary case, where $|P-Q|>1$, the
bulk theory flows to a 3D $\mathcal{N}=4$ rank-0 superconformal field theory,
whose topologically twisted theory supports the chiral minimal model at the
boundary. We also provide a concrete field theory description of the 3D bulk
theory using $T[SU(2)]$ theories. Our proposals are supported by various
consistency checks using 3D-3D relations and direct computations of various
partition functions.
