A Note on the Holographic Beta and C Functions

Abstract

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 a universal formula. We perform some checks of that formula and we compare it with 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 stress-energy tensor.

Version accepted for publication in Phys. Lett. B, expanded introduction. 11 pages, 2 embedded eps figures

References in corpus (2)

• Confinement and Condensates Without Fine Tuning in Supergravity Duals of Gauge Theories
• Anomalies, Unitarity and Quantum Irreversibility

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