RG flows and the holographic c - function
نویسنده
چکیده
We consider holographic RG flows which interpolate between non-trivial ultraviolet (UV) and infra-red (IR) conformal fixed points. We study the " superpo-tentials " which characterize different flows and discuss their expansions near the fixed points. Then we focus on the holographic c-function as defined from the two-point function of the stress-energy tensor. We point out that the equation for the metric fluctuations in the background flow is equivalent to a scattering problem and we use this to obtain an expression for the c-function in terms of the associated Jost functions. We propose two explicit models that realize UV-IR flows. In the first example we consider a thin wall separating two AdS spaces with different radii, while in the second one the UV region is replaced with an asymptotically AdS space. We find that the holographic c-function obeys the expected properties. In particular it reduces to the correct – nonzero – central charge in the IR limit.
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