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Lifshitz holography: hydrodynamics and the large-D limit

Project description

Finding connections in dualities

Physicists face exciting yet frustrating dualities seemingly everywhere they turn. General relativity accounts for gravity in the classical sense – why we do not fly off our spinning Earth, the orbit of planets and even the expansion of the universe. Quantum gravity attempts to explain gravity when quantum effects cannot be ignored, like near black holes. Within the realm of quantum gravity, scientists grapple with more dualities such as the prime example of so-called holography, 'AdS/CFT correspondence' or gauge/gravity duality. The EU-funded HoloLif project will tackle Lifshitz holography, a special case of this duality, to shed new light on important theories and applications of physics and mathematics to descriptions of our particle world.

Objective

Holography is the powerful statement that two seemingly distinct theories, a theory of gravity and a field theory, describe the same physics. In this proposal I focus on Lifshitz holography, a not very well understood version of the duality, that relates non-relativistic strongly-coupled field theories and gravity realized on Lifshitz spacetimes. The aim of the project is to further develop Lifshitz holography by taking advantage of recent progress in non-relativistic hydrodynamics and the development of the large-D tool. The research objectives(ROs), each forming a separate work package, are: - Flesh out the connections between gravity and fluid dynamics for non-relativistic theories, by developing the membrane paradigm for Lifshitz black holes. This will not only be a milestone in our understanding of Lifshitz holography itself and prepare the ground for a fully-fledged non-relativistic fluid/gravity correspondence, but it will also elucidate the infrared properties of these theories, identify universal behaviours in transport coefficients and other observables and explore the generality of recently-proposed connections between hydrodynamics, non-hydrodynamic modes and chaos. - Extend the large-D tool to Lifshitz spacetimes and then use it to study holographically thermal transport in Lifshitz theories. The large-D is a technical development in general relativity realised on Anti-deSitter and flat spacetimes that leads to major simplifications of gravitational dynamics and thus eases the complexity of calculations. This objective will impact both holographic studies and gravity considerations in Lifshitz spacetimes. To achieve these ROs, I will mainly study various aspects of quasinormal modes. These modes not only contain information about black hole dynamics in the sense of characterising the dissipation of the perturbed horizon, but they are also associated with poles of the corresponding real-time Green's functions in a holographically dual theory.

Fields of science (EuroSciVoc)

Programme(s)

Topic(s)

Funding Scheme

MSCA-IF-EF-ST - Standard EF

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Call for proposal

(opens in new window) H2020-MSCA-IF-2018

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Coordinator

THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Net EU contribution
€ 184 590,72
Address
COLLEGE GREEN TRINITY COLLEGE
D02 CX56 Dublin
Ireland
Region
Ireland Eastern and Midland Dublin
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 184 590,72