On a Gravity Dual to Flavored Topological Quantum Mechanics
Abstract
In this paper, we propose a generalization of the AdS2/CFT1 correspondence constructed by Mezei, Pufu and Wang in MezeiPufuWang, which is the duality between 2d Yang-Mills theory with higher derivatives in the AdS2 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 MezeiPufuWang, which arises as the effective field theory living on the intersection of stacks of N D2-branes and k D6-branes in the -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 AdS4 × S7/Zk 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.