Seminar Jelle Hartong

Jelle Hartong
The Niels Bohr Institute, Copenhagen University
Newton-Cartan Geometry and Boundary Stress-Energy Tensor for Lifshitz Holography
In this talk I will motivate the study of holography for non-AdS
space-times such as Lifshitz and hyperscaling violating Lifshitz
space-times. The dual field theories have a critical exponent different
from unity. I will show that the boundary geometry is described by
Newton-Cartan geometry with torsion and I will discuss the definition of
the boundary stress-energy tensor. The model that is used can be embedded
in type IIB supergravity and forms a well-behaved low energy limit of type
IIB string theory. I will discuss the definition and properties of the
sources, and derive the Ward identities for the associated one-point
functions. It turns out that in this model the IR of the Lifshitz geometry
admits two different UV completions: 1). a theory with critical exponent
z=2 and 2). a hyperscaling violating relativistic theory. Depending on
time I will furthermore discuss the Lifshitz scale anomaly which takes the
form of a Horava-Lifshitz action even though it is constructed in a
Newton-Cartan setting, the UV/IR structure of other models admitting z=2
Lifshitz geometries, and applications.
Thursday, February 6, 2014 - 13:00