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20 April 2024
 
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Holographic Correlators in a Flow to a Fixed Point
Marcus Berg ; Henning Samtleben ;
Date 23 Sep 2002
Journal JHEP 0212 (2002) 070
Subject hep-th
AbstractUsing 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.
Source arXiv, hep-th/0209191
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