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Aspects of Holography beyond AdS BMS superrotations in higher dimensions

Aspects of Holography beyond AdS BMS superrotations in higher dimensions
Aspects of Holography beyond AdS BMS superrotations in higher dimensions
A crucial role in the problem of four-dimensional asymptotically flat spacetime holographyis long believed to be played by the Bondi-Metzner-(van der Burg)-Sachs (BMS) asymptotic symmetry group. The discovery of deep relationships between such symmetries andgravitational infrared effects - pertrubative soft theorems and gravitational wave memories - has sparkled new interest in the problem. In this context, superrotations extendthe standard general relativistic definition of BMS group. While there has been somedebate on the extension of BMS to higher dimensions (d > 4), very little has been saidabout superrotations. In this thesis we initiate a systematic study of such structures. We provide evidence that consistency of superrotation Killing fields with a fully non-lineard > 4 gravitational configuration space requires different boundary conditions than thoseconsidered in literature. The first such evidence comes from cosmic (d − 3)-branes, whichare conjectured to be related to superrotations in d > 4 as a natural generalization ofthe relationship between cosmic strings in d = 4 and d = 4 superrotations. The generalboundary conditions may be taken to define asymptotically locally Minkowski spacetimes.
The first part of the thesis recaps fundamentals of AdS/CFT - the most well known example of holographic duality - and the second moves to asymptotically flat spacetimes. Thereview material marks the conceptual and technical differences between AdS holographyand the attempts at flat holography. A recurring theme is that of variational principlesand asymptotic charges. Their mutual consistency is pivotal in dynamically realisingAdS/CFT. We take this requirement as the basis of asymptotically flat holography andthe analysis of the configuration space is fundamental to the construction of well-defined variational principles and the phase space.
University of Southampton
Capone, Federico
9c2503c3-611d-482a-9d84-46e1eaa36ed7
Capone, Federico
9c2503c3-611d-482a-9d84-46e1eaa36ed7
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Capone, Federico (2021) Aspects of Holography beyond AdS BMS superrotations in higher dimensions. University of Southampton, Doctoral Thesis, 224pp.

Record type: Thesis (Doctoral)

Abstract

A crucial role in the problem of four-dimensional asymptotically flat spacetime holographyis long believed to be played by the Bondi-Metzner-(van der Burg)-Sachs (BMS) asymptotic symmetry group. The discovery of deep relationships between such symmetries andgravitational infrared effects - pertrubative soft theorems and gravitational wave memories - has sparkled new interest in the problem. In this context, superrotations extendthe standard general relativistic definition of BMS group. While there has been somedebate on the extension of BMS to higher dimensions (d > 4), very little has been saidabout superrotations. In this thesis we initiate a systematic study of such structures. We provide evidence that consistency of superrotation Killing fields with a fully non-lineard > 4 gravitational configuration space requires different boundary conditions than thoseconsidered in literature. The first such evidence comes from cosmic (d − 3)-branes, whichare conjectured to be related to superrotations in d > 4 as a natural generalization ofthe relationship between cosmic strings in d = 4 and d = 4 superrotations. The generalboundary conditions may be taken to define asymptotically locally Minkowski spacetimes.
The first part of the thesis recaps fundamentals of AdS/CFT - the most well known example of holographic duality - and the second moves to asymptotically flat spacetimes. Thereview material marks the conceptual and technical differences between AdS holographyand the attempts at flat holography. A recurring theme is that of variational principlesand asymptotic charges. Their mutual consistency is pivotal in dynamically realisingAdS/CFT. We take this requirement as the basis of asymptotically flat holography andthe analysis of the configuration space is fundamental to the construction of well-defined variational principles and the phase space.

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Published date: 2021

Identifiers

Local EPrints ID: 452874
URI: http://eprints.soton.ac.uk/id/eprint/452874
PURE UUID: c48c203f-f2d3-47e0-9e62-201d2579c4c9
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

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Date deposited: 06 Jan 2022 17:37
Last modified: 17 Mar 2024 07:00

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Contributors

Author: Federico Capone
Thesis advisor: Marika Taylor ORCID iD

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