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