The Wayback Machine - https://web.archive.org/web/20170123162600/http://adsabs.harvard.edu/abs/1998AdTMP...2..253W
Sign on

SAO/NASA ADS Physics Abstract Service


· Find Similar Abstracts (with default settings below)
· arXiv e-print (arXiv:hep-th/9802150)
· References in the article
· Citations to the Article (7912) (Citation History)
· Refereed Citations to the Article
· Also-Read Articles (Reads History)
·
· Translate This Page
Title:
Anti-de Sitter space and holography
Authors:
Witten, Edward
Publication:
Advances in Theoretical and Mathematical Physics, Vol. 2, p. 253-291
Publication Date:
00/1998
Origin:
AUTHOR
Bibliographic Code:
1998AdTMP...2..253W

Abstract

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of $d+1$-dimensional $AdS$ space with a compact manifold. Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity. In particular, dimensions of operators in conformal field theory are given by masses of particles in supergravity. As quantitative confirmation of this correspondence, we note that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of $\N=4$ super Yang-Mills theory in four dimensions. With some further assumptions, one can deduce a Hamiltonian version of the correspondence and show that the $\N=4$ theory has a large $N$ phase transition related to the thermodynamics of $AdS$ black holes.
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)

  New!

Find Similar Abstracts:

Use: Authors
Title
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints
    



Morty Proxy This is a proxified and sanitized view of the page, visit original site.