2013/11/30 by Morten H. Christensen, Jelle Hartong, Niels A. Obers +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.89.061901
published as Phys. Rev. D 89, 061901 (2014) · v2: 5 pages, matches version published in PRD
arxiv created 2014/09/19 · arxiv updated 2014/09/22
We obtain the Lifshitz UV completion in a specific model for z=2 Lifshitz geometries. We use a vielbein formalism which enables identification of all the sources as leading components of well-chosen bulk fields. We show that the geometry induced from the bulk onto the boundary is a novel extension of Newton-Cartan geometry with a specific torsion tensor. We explicitly compute all the vevs including the boundary stress-energy tensor and their Ward identities. After using local symmetries/Ward identities the system exhibits 6+6 sources and vevs. The FG expansion exhibits, however, an additional free function which is related to an irrelevant operator whose source has been turned off. We show that this is related to a second UV completion.