A bstract Building on the work of Gang, Kang, and Kim arXiv: 2405. 16377, we propose 3D bulk dual field theories for 2D N=1 N = 1 supersymmetric minimal models SM (P, Q) and W N algebra minimal models W N (P, Q). We associate to SM (P, Q) a Seifert fibered space S 2 ( (P, P − R), (Q, S), (3, 1) ) with PS − QR = 2, and for W N (P, Q) a Seifert fibered space S 2 ( (P, P − R), (Q, S), (N +1, −2 N − 1) ) with PS − QR = 1, and realize the bulk theory via the 3D-3D correspondence. For the unitary series, the bulk theory flows in the IR to a gapped phase which, under suitable boundary conditions, supports the unitary chiral minimal model on the boundary. For the non-unitary series, the bulk theory flows to the 3D N=4 N = 4 superconformal field theory whose topological twist yields a non-unitary topological field theory supporting the non-unitary chiral minimal model on the boundary under appropriate boundary conditions. We also propose UV gauge theory descriptions of the bulk theories obtained by gluing T SU (n) building blocks. For SM (P, Q), we provide non-trivial consistency checks — matching between various bulk partition functions and boundary conformal data — while for W N (P, Q), we present preliminary checks and leave further consistency checks for future work.
Baek et al. (Thu,) studied this question.