Consistency conditions for holographic duality
Mar, 2000
14 pages
Published in:
- JHEP 05 (2000) 014
e-Print:
- hep-th/0003147 [hep-th]
Report number:
- HUTP-00-A007,
- CITUSC-00-013,
- CALT-68-2265,
- CALT68-2265
View in:
Citations per year
Abstract: (arXiv)
We 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.Note:
- LaTeX, 14 pages
- holography
- duality
- renormalization group
- beta function
- gravitation
- field theory: scalar
- dimension: 4
- dimension: 5
- c-function
References(52)
Figures(0)