TL;DR
This paper explores the realization of extended-BMS symmetries within the AdS/CFT framework by constructing specific asymptotically AdS geometries with shockwaves and proposing a dual defect CFT with Virasoro symmetry, revealing nontrivial BMS charges.
Contribution
It introduces a novel construction of asymptotically AdS geometries with shockwaves to study extended-BMS symmetries via AdS/CFT correspondence.
Findings
Constructed asymptotically AdS geometries with null impulsive shockwaves.
Proposed a dual defect CFT with Virasoro algebra on de Sitter spacetime.
Identified nontrivial extended-BMS charges in the large radius limit.
Abstract
With a view to understanding extended-BMS symmetries in the framework of the correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters. The holographic dual is proposed to be a two-dimensional Euclidean defect conformal field localized on a particular timeslice in a three-dimensional conformal field theory on de Sitter spacetime. The defect conformal field theory generates a natural action of the Virasoro algebra. The large radius of curvature limit yields spacetimes with nontrivial extended-BMS charges.
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