Balasubramanian, Vijay; Kraus, Per Spacetime and the holographic renormalization group. (English) Zbl 0958.81046 Phys. Rev. Lett. 83, No. 18, 3605-3608 (1999). Summary: Anti-de Sitter space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume. The flow of observables between our “interior” theories is described by a renormalization group equation. The dependence of these flows on the foliation of space encodes bulk geometry. Cited in 59 Documents MSC: 81T17 Renormalization group methods applied to problems in quantum field theory 81T20 Quantum field theory on curved space or space-time backgrounds 81T60 Supersymmetric field theories in quantum mechanics 83C45 Quantization of the gravitational field PDF BibTeX XML Cite \textit{V. Balasubramanian} and \textit{P. Kraus}, Phys. Rev. Lett. 83, No. 18, 3605--3608 (1999; Zbl 0958.81046) Full Text: DOI arXiv References: [1] L. Susskind, J. Math. Phys. (N.Y.) 36 pp 6377– (1995) · Zbl 0850.00013 [2] J. Maldacena, Adv. Theor. Math. Phys. 2 pp 231– (1998) · Zbl 0914.53047 [3] E. Alvarez, Nucl. Phys. B541 pp 441– (1999) · Zbl 0947.81045 [4] E. T. Akhmedov, Phys. Lett. B 442 pp 152– (1998) · Zbl 1002.81538 [5] A. Peet, Phys. Rev. D 18 pp 3565– (1978) [6] S. S. Gubser, Phys. Lett. B 428 pp 105– (1998) · Zbl 1355.81126 [7] E. Witten, Adv. Theor. Math. Phys. 2 pp 253– (1998) · Zbl 0914.53048 [8] V. Balasubramanian, Phys. Rev. D 59 pp 046003– (1999) [9] V. Balasubramanian, Phys. Rev. D 59 pp 104021– (1999) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.