Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence

Details Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence Light-cone form of field dynamics in anti-de Sitter space-time and AdS/CFT correspondence

1999-06-28

arxiv.org/abs/hep-th/9906217v3

Nucl.Phys. B563 (1999) 295-348

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, LaTeX, typos corrected in Appendices

Scientific paper

10.1016/S0550-3213(99)00554-4

Light-cone form of field dynamics in anti-de Sitter space-time is developed. Using field theoretic and group theoretic approaches the light-cone representation for generators of anti-de Sitter algebra acting as differential operators on bulk fields is found. We also present light-cone reformulation of the boundary conformal field theory representations. Making use of these explicit representations of AdS algebra as isometry algebra in the bulk and the algebra of conformal transformations at the boundary a precise correspondence between the bulk fields and the boundary operators is established.

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