Boundary dynamics of higher dimensional AdS spacetime

1999/05/31 by J. Gegenberg, G. Kunstatter · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Geometry and complex manifolds #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0370-2693(00)00271-9

published as Phys.Lett. B478 (2000) 327-332 · Latex, 12 pages, including title page; discussion of surface terms clarified; conclusions unchanged

arxiv created 2000/01/28 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We examine the dynamics induced on the four dimensional boundary of a five dimensional anti-deSitter spacetime by the five dimensional Chern-Simons theory with gauge group the direct product of SO(4,2) with U(1). We show that, given boundary conditions compatible with the geometry of 5d AdS spacetime in the asymptotic region, the induced surface theory is the WZW₄ model.

Citations

• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• The World as a Hologram

Cited by

• Mass generation and symmetry breaking in Chern-Simons supergravity
• Higher- U (2,2)-spin fields and higher-dimensional 𝒲-gravities: quantum AdS space and radiation phenomena