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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Torsional Newton-Cartan Geometry and Lifshitz Holography

Presented by Niels Obers, Niels Bohr Institute

7 March 2014 13:00 in CM221

I will start with a motivation for understanding Lifshitz holography, and a brief introduction to holography in the conventional setting of AdS backgrounds. Subsequently, I will review the Newton-Cartan formulation of Newtonian gravity, which will turn out to be relevant for understanding the boundary geometry in the context of Lifshitz holography.
Then I discuss the Lifshitz UV completion in a specific model for z=2 Lifshitz geometries.
This employs a vielbein formalism which enables identification of all the sources as leading components of well-chosen bulk fields. It is shown that the geometry induced from the bulk onto the boundary is a novel extension of Newton-Cartan geometry with a specific torsion tensor.
An explicit computation of all the vevs including the boundary stress-energy tensor and their Ward identities will be given. I will conclude with an outlook putting the results in perspective
of more general Lifshitz theories and discussing possible applications.

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