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Non AdS holography and generalized geometric structures

Non AdS holography and generalized geometric structures

Objective

Holography is by now a fundamental tool in the understanding of both strongly coupled conformal field theories (CFTs) and quantum theories of gravity. While holography in Anti de Sitter (AdS) space-times is rather well understood, we currently lack a basic picture of what it means in non-AdS space-times. Considering non-AdS space-times is an essential and urgent next step in the study of quantum gravity as we seem to live in a universe with a positive cosmological constant that is approaching de Sitter (dS) in the far future. Also, the near-horizon geometries of black holes are typically described by more exotic geometries that need to be understood on their own right.

I propose to address this and study the physics of holographic systems on non-AdS space-times and their connection to generalized geometric structures that naturally arise in these setups. In order do this I will use both conventional field theory techniques and new holographic tools, some of which I have developed recently.

The relevance of GenGeoHol is illustrated by universal properties of black holes, e.g. their area-law entropy. These are independent of AdS, pointing towards the existence of a more general holographic principle that generalizes the usual symmetries and geometric notions. A great deal of evidence has accumulated recently indicating that this is indeed the case. The physics of extremal black holes and non relativistic systems are clear examples.

GenGeoHol will impact a wide range of fields. As one moves away from AdS Einstein gravity, the dual quantum-field theories present different symmetries from that of usual relativistic systems. These systems couple naturally to generalized background geometries which are of intrinsic interest and key to a range of concepts extending from Newton-Cartan geometry in non-relativistic systems to higher-spin geometries for so-called W_N CFTs.
Given my experience and track record, I am uniquely positioned to attack this problem successfully.
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Host institution

UNIVERSITEIT VAN AMSTERDAM

Address

Spui 21
1012wx Amsterdam

Netherlands

Activity type

Higher or Secondary Education Establishments

EU Contribution

€ 1 300 775

Beneficiaries (1)

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UNIVERSITEIT VAN AMSTERDAM

Netherlands

EU Contribution

€ 1 300 775

Project information

Grant agreement ID: 715656

Status

Ongoing project

  • Start date

    1 September 2017

  • End date

    31 August 2022

Funded under:

H2020-EU.1.1.

  • Overall budget:

    € 1 300 775

  • EU contribution

    € 1 300 775

Hosted by:

UNIVERSITEIT VAN AMSTERDAM

Netherlands