论文标题

大规模IIA的低维度AD/CFT的新结果

New results in AdS/CFT in low dimensions from massive Type IIA

论文作者

Lozano, Yolanda, Petri, Nicolò, Ramirez, Anayeli

论文摘要

我们回顾了低维度的ADS/CFT通信研究中的最新发展,重点是构建广告$ _3 $/CFT $ _2 $和ADS $ _2 $/CFT $ _1 $双对IIA类型IIA字符串理论。我们开始讨论$ \ text {ads} _3 \ times s^2 \ times \ text {cy} _2 \ times i $解决方案,以使用$ \ MATHCAL {N} =(0,4)$ supersymmetry构建于1908.09851。我们对这些解决方案的二CFT进行了回顾,以及它们的缺陷解释为居住在D4-D8结合状态的5D固定点理论中的表面缺陷。接下来,我们将讨论$ \ text {ads} _2 \ times s^3 \ times \ text {cy} _2 \ times i $ $ solutions,使用$ \ mathcal {n} = 4 $ supersymmetry在2011.13932中构建。我们讨论了这些解决方案对双重的超符号量子力学,我们用5D SP(N)固定点理论中的D0-D4 Baryon顶点的线缺陷来解释。我们回顾了这类解决方案中的一个特定示例,该解决方案是通过非阿您T偶对构建的,相对于非压缩等轴测组,并讨论了很久以前通过该解决方案中的非亚伯T-二维构建的3D黑洞几何形状的可能嵌入。

We review recent developments in the study of the AdS/CFT correspondence in low dimensions, focusing on the construction of AdS$_3$/CFT$_2$ and AdS$_2$/CFT$_1$ dual pairs in massive Type IIA string theory. We start discussing the $\text{AdS}_3\times S^2\times \text{CY}_2\times I$ solutions to massive IIA supergravity with $\mathcal{N}=(0,4)$ supersymmetry constructed in 1908.09851. We review the 2d CFTs dual to these solutions, together with their defect interpretation as surface defects within 5d fixed point theories living in D4-D8 bound states. Next, we discuss the $\text{AdS}_2\times S^3\times \text{CY}_2\times I$ solutions with $\mathcal{N}=4$ supersymmetry constructed in 2011.13932. We discuss the superconformal quantum mechanics dual to these solutions, that we interpret in terms of line defects realised as D0-D4 baryon vertices in 5d Sp(N) fixed point theories. We review a particular example in this class of solutions, constructed through non-Abelian T-duality with respect to a non-compact isometry group, and discuss the possible embedding of a 3d black hole geometry constructed long ago via non-Abelian T-duality within this solution.

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