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arXiv 0901.3609hep-thgr-qc
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AdS超引力边界处的超引力

Supergravity at the boundary of AdS supergravity

Aaron J. Amsel, Geoffrey Compère

摘要:

本文给出了自旋为3/2的Rarita-Schwinger场的AdS边界条件的一般分析,并研究了AdS_4中引力子多重态保持超对称性的边界条件。本文证明了AdS_d中的线性Rarita-Schwinger场,当其质量在$0 \leq |m| < 1/2l_{AdS}$范围内时,可满足混合Dirichlet-Neumann边界条件.我们还表明,混合边界条件允许较大的质量时,内积是“重整化”相应的行动。然后我们利用|m| = 1/ l_{AdS}的结果,探讨了N = 1的AdS_4超引力的超对称边界条件,其中度规场和Rarita-Schwinger场在边界处都是涨落的。我们分类边界条件,保持边界超对称或超共形对称。在AdS/CFT字典下,d=4超引力中的Neumann边界条件对应于度量描述M2-膜的三维CFT的超共形群,而N = 1超对称混合边界条件将CFT耦合到N = 1超共形拓扑质量引力。

英文摘要:

We give a general analysis of AdS boundary conditions for spin-3/2 Rarita-Schwinger fields and investigate boundary conditions preserving supersymmetry for a graviton multiplet in AdS_4. Linear Rarita-Schwinger fields in AdS_d are shown to admit mixed Dirichlet-Neumann boundary conditions when their mass is in the range $0 \leq |m| < 1/2l_{AdS}$. We also demonstrate that mixed boundary conditions are allowed for larger masses when the inner product is "renormalized" accordingly with the action. We then use the results obtained for |m| = 1/l_{AdS} to explore supersymmetric boundary conditions for N = 1 AdS_4 supergravity in which the metric and Rarita-Schwinger fields are fluctuating at the boundary. We classify boundary conditions that preserve boundary supersymmetry or superconformal symmetry. Under the AdS/CFT dictionary, Neumann boundary conditions in d=4 supergravity correspond to gauging the superconformal group of the 3-dimensional CFT describing M2-branes, while N = 1 supersymmetric mixed boundary conditions couple the CFT to N = 1 superconformal topologically massive gravity.

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