论文标题
在重力双重到调味的拓扑量子力学上
On a Gravity Dual to Flavored Topological Quantum Mechanics
论文作者
论文摘要
在本文中，我们提出了$ \ mathrm {ads_2/cft_1} $对应关系的概括，由Mezei，Pufu和Wang在\ cite {mezeipufuwang}中构建，这是2d Yang-mills理论与$ \ Mathrm {ads ints of tim tirts ands ands and a ads ands的较高衍生物之间的双重性两个基本的$ \ mathrm {u}（n）$字段，在Chern-Simons级别$ k = 1 $的3D ABJM理论中管理某些受保护的操作员。 We construct a holographic dual to a flavored generalization of the 1d quantum mechanics considered in \cite{MezeiPufuWang}, 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 $ \ mathcal {n} = 4 $理论，带有$ k $基本的超耗精，在$ \ mathrm {ads} _4 \ times \ times \ times \ mathrm {s}^7/\ mathbb {z} _k} _k $背景中具有全息描述为M理论。我们计算批量理论量规组的结构常数，并在边界理论的可观察到和批量理论领域之间构建图。
In this paper, we propose a generalization of the $\mathrm{AdS_2/CFT_1}$ correspondence constructed by Mezei, Pufu and Wang in \cite{MezeiPufuWang}, which is the duality between 2d Yang-Mills theory with higher derivatives in the $\mathrm{AdS}_2$ background, and 1d topological quantum mechanics of two adjoint and two fundamental $\mathrm{U}(N)$ 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 \cite{MezeiPufuWang}, 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 $\mathcal{N} = 4$ theory with $k$ fundamental hypermultiplets, having a holographic description as M-theory in the $\mathrm{AdS}_4 \times \mathrm{S}^7/\mathbb{Z}_k$ 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.
