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A Top-Down Model for Lifshitz Holography

Presented by: 
J Hartong University of Copenhagen
Thursday 19th September 2013 - 15:45 to 16:15
INI Seminar Room 1
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.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons