Vijay Balasubramanian et al JHEP05(2000)014 doi:10.1088/1126-6708/2000/05/014
Consistency conditions for holographic duality
Vijay Balasubramanian1, Eric Gimon2 and Djordje Minic3
Show affiliationsWe show that if the beta functions of a field theory are given by the gradient of a certain potential on the space of couplings, a gravitational background in one more dimension can express the renormalization group (RG) flow of the theory. The field theory beta functions and the gradient flow constraint together reconstruct the second-order spacetime equations of motion. The RG equation reduces to the conventional gravitational computation of the spacetime quasilocal stress tensor, and a c-theorem holds true as a consequence of the Raychaudhuri equation. Conversely, under certain conditions, if the RG evolution of a field theory possesses a monotonic c-function, the flow of couplings can be expressed in terms of a higher-dimensional gravitational background.
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E-print Number: hep-th/0003147
Cited: by |
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- PACS
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11.10.Hi Renormalization group evolution of parameters
04.50.-h Higher-dimensional gravity and other theories of gravity
- Subjects
- Dates
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Issue 05 ( 1 May 2000)
Received 22 April 2000, accepted for publication 4 May 2000
Published 30 May 2000
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Consistency conditions for holographic duality
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