Holographic Renormalization of general dilaton-axion gravity

Understand

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.