\( \mathcal{N} \) = (4,4) d = 11的超对称AdS3解

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Andrea Conti, Niall T. Macpherson
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引用次数: 0

摘要

我们得到了d = 11超引力的AdS3解在g结构下保持\( \mathcal{N} \) =(1,1)超对称的充分必要条件。这样的解必然支持内部8流形M8上的SU(3)-结构,我们用它来描述超对称保持的条件。我们利用这一方法导出了d = 11中所有\( \mathcal{N} \) =(4,4)超对称AdS3解的局部形式,其中M8分解为5维基底上的3球的叶理。有3个独立的类,其中2个保留了小超共形代数,另一个保留了M5包含第二个3球的大超共形代数。我们证明了对于每一个具有大(4,4)超对称的解都有两个对应的小(4,4)的解,其中一个解使M5保持其3球,另一个解膨胀到可以紧化到𝕋3的算子3。我们使用我们的结果来构造位于派生类中的几个新解决方案,并恢复一些现有解决方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
\( \mathcal{N} \) = (4, 4) supersymmetric AdS3 solutions in d = 11

We derive necessary and sufficient conditions for AdS3 solutions of d = 11 supergravity to preserve \( \mathcal{N} \) = (1, 1) supersymmetry in terms of G-structures. Such solutions necessarily support an SU(3)-structure on the internal 8-manifold M8, in terms of which we phrase the conditions for supersymmetry preservation. We use this to derive the local form of all \( \mathcal{N} \) = (4, 4) supersymmetric AdS3 solutions in d = 11, for which M8 decomposes as a foliation of a 3-sphere over a 5 dimensional base. There are 3 independent classes, 2 of which preserve the small superconformal algebra and one preserving its large counterpart for which M5 contains a second 3-sphere. We show that for each solution with large (4, 4) supersymmetry there are two corresponding solutions with small (4, 4), one for which M5 maintains its 3-sphere, one where this blows up to ℝ3 which can be compactified to 𝕋3. We use our results to construct several new solutions that lie within our derived classes as well as recovering some existing solutions.

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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
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).
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