On a gravity dual to flavored topological quantum mechanics

Abstract

Abstract In this paper, we propose a generalization of the AdS2 /CFT1 correspondence constructed by Mezei, Pufu and Wang in [1], 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 [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 $$ \mathcal{N} $$ = 4 theory with k fundamental hypermultiplets, having a holographic description as M-theory in the AdS4 × S7 /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.

Keywords

• AdS-CFT Correspondence
• Gauge-gravity correspondence