On a gravity dual to flavored topological quantum mechanics

A bstract In this paper, we propose a generalization of the AdS 2 / CFT 1 correspondence constructed by Mezei, Pufu and Wang in [ 1 ], which is the duality between 2d Yang-Mills theory with higher derivatives in the AdS 2 background, and 1d topological quantum mechanics of two adjoint and two fundamental U( N ) fields, governing certain protected sector of operators in 3d ABJM theory at the Chern-Simons level k = 1. We construct a holographic dual to a flavored generalization of the 1d quantum mechanics considered in [ 1 ], which arises as the effective field theory living on the intersection of stacks of N D2-branes and k D6-branes in the Ω-background in Type IIA string theory, and describes the dynamics of the protected sector of operators in N = 4 theory with k fundamental hypermultiplets, having a holographic description as M-theory in the AdS 4 × S 7 / ℤ k background. We compute the structure constants of the bulk theory gauge group, and construct a map between the observables of the boundary theory and the fields of the bulk theory.