Holographic Correlators in a Flow to a Fixed Point

Details Holographic Correlators in a Flow to a Fixed Point Holographic Correlators in a Flow to a Fixed Point

2002-09-23

arxiv.org/abs/hep-th/0209191v2

JHEP 0212 (2002) 070

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 48 pages, 4 figures

Scientific paper

10.1088/1126-6708/2002/12/070

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric product of U(2) super WZW models. It is perturbed by a relevant operator which preserves one-quarter supersymmetry and drives the theory to an infrared fixed point. We compute correlators of the stress-energy tensor and of the relevant operators dual to supergravity scalars. Using the former, we put together Zamolodchikov's C function, and contrast it with proposals for a holographic C function. In passing, we address and resolve two puzzles also found in the case of five-dimensional bulk supergravity.

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