Boundary Dynamics of Higher Dimensional AdS Spacetime

TL;DR

This paper investigates how a five-dimensional Chern-Simons theory with a specific gauge group influences the boundary dynamics of a 5D anti-de Sitter spacetime, revealing that the boundary theory is a WZW4 model.

Contribution

It demonstrates that the boundary dynamics of 5D AdS spacetime under this theory are governed by a WZW4 model, connecting higher-dimensional gauge theories to boundary conformal models.

Findings

Boundary conditions lead to a WZW4 boundary theory.

The induced boundary theory is explicitly identified as WZW4.

The work links 5D Chern-Simons theory to boundary conformal field theories.

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 $WZW_4$ model.