Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence

Abstract

We argue that multi-trace interactions in quantum field theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto. We illustrate the procedure for a renormalizable four-dimensional field theory with a $(\Tr Φ^2)^2$ interaction. In this example, we show how the AdS fields with the appropriate boundary condition reproduce the renormalization group effects found in the boundary field theory. We also construct in related examples a line of fixed points with a nonperturbative duality, and a flow between two methods of quantization.

13 pp. Discussion of relevant perturbation added and references expanded

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• AdS/CFT Correspondence and Symmetry Breaking
• The dS/CFT Correspondence
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Quantum Gravity In De Sitter Space
• Conformal Vacua and Entropy in de Sitter Space
• Les Houches Lectures on De Sitter Space
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• A Proposal for Strings at D>1
• Matrix Model Perturbed by Higher Order Curvature Terms
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