Ehlers, Carroll, charges and dual charges

Mittal, Nehal; Petropoulos, P. Marios; Rivera-Betancour, David; Vilatte, Matthieu

Abstract

We unravel the boundary manifestation of Ehlers' hidden Mobius symmetry present in four-dimensional Ricci-flat spacetimes that enjoy a time-like isometry and are Petrov-algebraic. This is achieved in a designated gauge, shaped in the spirit of flat holography, where the Carrollian three-dimensional nature of the null conformal boundary is manifest and covariantly implemented. The action of the Mobius group is local on the space of Carrollian boundary data, among which the Carrollian Cotton tensor plays a predominent role. The Carrollian and Weyl geometric tools introduced for shaping an appropriate gauge, as well as the boundary conformal group, which is BMS4, allow to define electric/magnetic, leading/subleading towers of charges directly from the boundary Carrollian dynamics and explore their behaviour under the action of the Mobius duality group.

Más información

Título según WOS: ID WOS:001062397800001 Not found in local WOS DB
Título de la Revista: JOURNAL OF HIGH ENERGY PHYSICS
Número: 7
Editorial: Springer
Fecha de publicación: 2023
DOI:

10.1007/JHEP07(2023)065

Notas: ISI