Holographic RG flows and nearly-marginal operators

Abstract

The holographic renormalization group flows associated with marginally relevant operators are analyzed. The associated perturbative and non-perturbative beta-functions are calculated and the consistent scalar potentials are identified. The presence of a Zamolodchikov metric in the multiscalar case is shown to affect beta-functions starting at two loops.

Comments: Latex, 23 pages. Minor corrections. Version to be published in Classical and Quantum Gravity