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A Top-Down Model for Lifshitz Holography

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If you have a question about this talk, please contact Mustapha Amrani.

Mathematics and Physics of the Holographic Principle

In this talk I will discuss Lifshitz holography for a specific model admitting 4D z=2 Lifshitz space-times that can be uplifted to 5D asymptotically AdS space-times. The model forms a well-behaved low energy limit of type IIB string theory. I will show that the boundary geometry of asymptotically locally Lifshitz space-times is described by Newton-Cartan geometry with in general nonzero torsion. To properly account for all the sources and local symmetries it is very useful to use a Vielbein formalism. Further all deformations of asymptotically locally Lifshitz space-times allowed by the equations of motion are discussed. I will use this to compute the Lifshitz boundary stress energy tensor and derive its Ward identities. I will also show that the 4D Fefferman-Graham expansion has 6+6+1 free functions where 6 are sources and 6 are vevs and where there is one additional free function that does not talk to any of the sources and vevs.

This talk is part of the Isaac Newton Institute Seminar Series series.

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