Holographic Renormalization of general dilaton-axion gravity

Abstract

We consider a very general dilaton-axion system coupled to Einstein-Hilbert gravity in arbitrary dimension and we carry out holographic renormalization for any dimension up to and including five dimensions. This is achieved by developing a new systematic algorithm for iteratively solving the radial Hamilton-Jacobi equation in a derivative expansion. The boundary term derived is valid not only for asymptotically AdS backgrounds, but also for more general asymptotics, including non-conformal branes and Improved Holographic QCD. In the second half of the paper, we apply the general result to Improved Holographic QCD with arbitrary dilaton potential. In particular, we derive the generalized Fefferman-Graham asymptotic expansions and provide a proof of the holographic Ward identities.

42 pages. v2: two references added. Version published in JHEP. v3: fixed minor typos in eqs. (1.6), (2.3), (3.20), (A.3), (B.8), (B.12) and (B.22)

References in corpus (7)

• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Precision holography for non-conformal branes
• Improved Holographic QCD
• Holography for Schrodinger backgrounds
• AdS/CFT correspondence and Geometry
• Holographic renormalization as a canonical transformation

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