Supergravity at the boundary of AdS supergravity

Abstract

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 $0\le |m|<1/2l_{AdS}$. 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.

23 pages, RevTeX

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Nonlinear Fluid Dynamics from Gravity
• Setting the boundary free in AdS/CFT
• Comments on Unparticles
• AdS/CFT correspondence and Geometry
• Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
• On 3d N=8 Lorentzian BLG theory as a scaling limit of 3d superconformal N=6 ABJM theory
• Gravitational Duality Transformations on (A)dS4
• Supersymmetric Multi-trace Boundary Conditions in AdS
• Supersymmetric hydrodynamics from the AdS/CFT correspondence
• Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry