Holographic CFTs on AdSd × Sn and conformal defects

IF 5 1区物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS Journal of High Energy Physics Pub Date : 2023-10-31 DOI:10.1007/JHEP10(2023)188

Ahmad Ghodsi, Elias Kiritsis, Francesco Nitti

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引用次数: 0

Abstract

We consider (d+n+1)-dimensional solutions of Einstein gravity with constant negative curvature. Regular solutions of this type are expected to be dual to the ground states of (d + n)-dimensional holographic CFTs on AdS_d × Sⁿ. Their only dimensionless parameter is the ratio of radii of curvatures of AdS_d and Sⁿ. The same solutions may also be dual to (d − 1)-dimensional conformal defects in holographic QFT_d+n. We solve the gravity equations with an associated conifold ansatz, and we classify all solutions both singular and regular by a combination of analytical and numerical techniques. There are no solutions, regular or singular, with two boundaries along the holographic direction. Out of the infinite class of regular solutions, only one is diffeomorphic to AdS_d+n+1 and another to AdS_d × AdS_n+1. For the regular solutions, we compute the on-shell action as a function of the relevant parameters.

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AdSd × Sn 上的全息 CFT 与共形缺陷

我们考虑具有恒定负曲率的爱因斯坦引力的 (d+n+1)-dimensional 解。这种类型的正则解预计与 AdSd × Sn 上 (d + n)-dimensional holographic CFTs 的基态是对偶的。它们唯一的无量纲参数是 AdSd 和 Sn 的曲率半径之比。同样的解也可能是全息 QFTd+n 中 (d - 1) 维保形缺陷的对偶解。我们用相关的锥形解析解引力方程，并结合分析和数值技术对所有奇异解和正则解进行分类。无论是正则解还是奇异解，都不存在沿全息方向有两个边界的解。在无限类正则解中，只有一个与 AdSd+n+1 和另一个与 AdSd × AdSn+1 是差分同构的。对于正则解，我们计算了作为相关参数函数的壳上作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

10.00

自引率

46.30%

发文量

2107

审稿时长

12 weeks

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).