Holography for Schrödinger backgrounds

By Monica Guica, Kostas Skenderis, Marika Taylor, B. C. Rees. 2010

149 citations recorded by the source corpus.

We discuss holography for Schrödinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d + 1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field theory (two dimensional in the case of TMG) deformed by certain operators that respect the Schrödinger symmetry. These operators are irrelevant from the viewpoint of the relativistic conformal group but they are exactly marginal with respect to the non-relativistic conformal group. The spectrum of linear fluctuations around the background solutions corresponds to operators that are labeled by their scaling dimension and the lightcone momentum kv. We set up the holographic dictionary and compute 2-point functions of these operators both holographically and in field theory using conformal perturbation theory and find agreement. The counterterms needed for holographic renormalization are non-local in the v lightcone direction.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/84798622589c18d1a65d9ab534b0d4ce8ce16d78

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

An integrable Lorentz-breaking deformation of two-dimensional CFTs (2017, background): “A holographic study of this spacetime suggests that its holographically dual QFT is a deformation of a two-dimensional CFT by an irrelevant (1, 2) operator [29,30] and, just like in the case of the T T̄ - type deformations discussed by [1], one is supposed to “go up” the RG flow.”
New boundary conditions for AdS3 (2013, background): “The discovery of these new boundary conditions was sparked by a circle of recent investigations [12–25] involving warped AdS3 spacetimes, near-horizon extreme Kerr, string compactifications and their potential dual warped CFT2s - all of which have in common global SL(2,R)× U(1) symmetries.”
Holographic renormalization of general dilaton-axion gravity (2011, background): “tic and extensive understanding has been achieved for non asymptotically AdS backgrounds. These include the analyses of the dictionary for non-conformal branes [3, 4] and for Schro¨dinger backgrounds [5]. However, it cannot be overemphasized that the process of understanding the holographic dictiona”
Black holes and black branes in Lifshitz spacetimes (2011, background): “he special case of z = 2 there is an extension of the Lifshitz scaling symmetry group to the Schro¨dinger group, in which particle number and special conformal transformations are conserved. See e.g. [2, 3, 5, 6, 7, 8] for some more references on this topic. In [4] it was proposed that gravity duals”
Lifshitz holography (2015, background): “The vector field corresponds to a source for a null component of a vector operator V μ of dimension (d+ z − 1) [30, 32]: SCFT → SCFT + b ∫”
Lifshitz space–times for Schrödinger holography (2014, background): “[17, 18, 19, 20, 21, 22] for related recent work on Schrödinger and warped AdS3 space-times.”
Gauging the Carroll algebra and ultra-relativistic gravity (2015, background): “Further also in the case of Schrödinger holography there are many hints that the boundary field theory couples to a certain non-Riemannian geometry [4, 5, 6, 7, 8].”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, methodology): “by dualities such as TsT in the case of z = 2 Schrödinger holography [10, 11, 12, 13] or by dimensional reduction as in the case of z = 2 Lifshitz holography which will be elaborated on further below).”