Lifshitz space–times for Schrödinger holography
By J. Hartong, E. Kiritsis, N. Obers. 2014
153 citations recorded by the source corpus.
Abstract We show that asymptotically locally Lifshitz space–times are holographically dual to field theories that exhibit Schrodinger invariance. This involves a complete identification of the sources, which describe torsional Newton–Cartan geometry on the boundary and transform under the Schrodinger algebra. We furthermore identify the dual vevs from which we define and construct the boundary energy–momentum tensor and mass current and show that these obey Ward identities that are organized by the Schrodinger algebra. We also point out that even though the energy flux has scaling dimension larger than z + 2 , it can be expressed in terms of computable vev/source pairs.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4a7390271907212c753e604a09accdc30276efe9
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Gauging the Carroll algebra and ultra-relativistic gravity (2015, methodology): “In the case of field theory on Newton–Cartan space-times including torsion is crucial because it allows one to compute the energy current [16, 17, 19, 1, 23].”
- Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, methodology): “We also point out that compared to [19, 24, 21, 23] we denote by mμ here what was referred to as m̃μ in these papers and vice versa we denote by m̃μ here what was denoted by mμ in these respective works.”
- On the coupling of Galilean-invariant field theories to curved spacetime (2014, background): “8), which amounts to a Newton-Cartan structure 8After this work was completed, two works appeared [29, 30] which argue that this boundary geometry is NC geometry in a similar sense to what we have described, and in particular there is a “hidden” Galilean boost symmetry.”