Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory

Citation
K. Kaviani et Am. Ghezelbash, Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory, PHYS LETT B, 469(1-4), 1999, pp. 81-86
Citations number
24
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
469
Issue
1-4
Year of publication
1999
Pages
81 - 86
Database
ISI
SICI code
0370-2693(199912)469:1-4<81:QFTING>2.0.ZU;2-U
Abstract
By using the approach of non-commutative geometry, we study spinors and sca lars on the two layers AdS(d+1) space. We have found that in the boundary o f two layers AdS(d+1) space, by using the AdS/CFT correspondence, we have a logarithmic conformal field theory. This observation propose a way to get the quantum field theory in the context of non-commutative geometry. (C) 19 99 Published by Elsevier Science B.V. All rights reserved.