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Résumé |
The main challenges in formulating a holographic correspondence for asymptotically flat spacetimes stem from the null character of the conformal boundary and from the fact that gravitational charges are not conserved in the presence of radiative flux. In this talk, I will present a systematic and mathematically robust derivation of the associated flux-balance laws for mass and angular momentum from geometric principles formulated intrinsically at null infinity. I will begin with a pedagogical review of the key aspects of the geometry at null infinity, which can be described in terms of conformal Carroll geometry. I will highlight that the boundary affine connection, which is the manifestation of the gravitational field at the boundary, contain degrees of freedom that naturally act as sources encoding gravitational radiation in a holographic framework. I will then show how to derive flux-balance laws for an effective field theory intrinsically formulated at the boundary, using novel techniques in which ``hypermomenta" arise as the response to fluctuations of the boundary connection. These equations reproduce the celebrated Bondi-van der Burg-Metzner-Sachs flux-balance laws in a convenient boundary gauge.
Based on: A. Fiorucci, S. Pekar, P. M. Petropoulos and M. Vilatte, Carrollian-Holographic Derivation of Gravitational Flux-Balance Laws, Phys.Rev.Lett. 135(2025) 26, 261602, [hep-th/2505.00077] |
