A Note On Holographic Ward Identities

Abstract

In this note we show how Ward identities may be derived for a quantum field theory dual of a string theory using the AdS/CFT correspondence. In particular associated with any gauge symmetry of the bulk supergravity theory there is a corresponding constraint equation. Writing this constraint in Hamilton-Jacobi form gives a generating functional for Ward identities in the dual QFT. We illustrate the method by considering various examples.

8 pages, RevTeX format

References in corpus (4)

• AdS/CFT Correspondence and Symmetry Breaking
• Gravitational Stability and Renormalization-Group Flow
• Spacetime and the Holographic Renormalization Group
• The Supergravity Dual of N=1 Super Yang-Mills Theory

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• Local Fields on the Brane Induced by Nonlocal Fields in the Bulk