A Note on the Holographic Beta and C Functions
نویسنده
چکیده
The holographic RG flow in AdS/CFT correspondence naturally defines a holographic scheme in which the central charge c and the beta function are related by the formula ċ = −2cβaβbG, where Gab is the metric of the kinetic term of the supergravity scalars. In particular, the metric in the space of couplings is fab = 2cGab. We perform some checks of that result and we compare it with the quantum field theory expectations. We discuss alternative definitions of the c-function. In particular, we compare, for a particular supersymmetric flow, the holographic c-function with the central charge computed directly from the two-point function of the stressenergy tensor.
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