AdS/CFT in the infinite momentum frame

Abstract

This paper considers the spacetimes describing pp-waves propagating on extremal non-dilatonic branes. It is shown that an observer moving along a geodesic will experience infinite curvature at the horizon of the brane, which should therefore be regarded as singular. Taking the decoupling limit of these brane-wave spacetimes gives a pp-wave in AdS, the simplest example being the Kaigorodov spacetime. It has been conjectured that gravity in this spacetime is dual to a CFT in the infinite momentum frame with constant momentum density. If correct, this implies that the CFT must resolve the singularity of the bulk spacetime. Evidence in favour of this conjecture is presented. The unbroken conformal symmetries determine the scalar 2-point function up to an arbitrary function of one variable. However, an AdS/CFT calculation shows that this function is constant (to leading order in 1/N 2 ) and the result is therefore the same as when the full conformal symmetry is unbroken. This paper also discusses a recently discovered Virasoro symmetry of metrics describing pp-waves in AdS and naked singularities in the Randall-Sundrum scenario. * email: Dominic.Brecher@durham.ac.uk †

String theory and the classical stability of plane waves

“…This leaves 46) the structure of which is the same as for the 4-form perturbations. Writing 47) for some constant complex polarisation tensor ζ ij = ζ [ij] , gives…”

Universal time-dependent deformations of Schrödinger geometry

“…in locally AdS background). Such PP-wave deformations in the AdS space was studied in [20][21][22][23]. 4 The metric is given by 11) which solves the vacuum Einstein equation with the negative cosmological constant.…”

“…4 The metric is given by 11) which solves the vacuum Einstein equation with the negative cosmological constant. In the AdS case, it was argued in [21] that the deformation by C 2 is dual to the time-dependent vacuum expectation value (VEV) for a particular component of the energy momentum tensor: 5…”

“…in locally AdS background). Such PP-wave deformations in the AdS space was studied in [20][21][22][23]. The metric is given by…”

“…It was argued [21] that the deformation by C 2 is due to the time-dependent VEV for a particular component of the energy momentum tensor:…”