Lifshitz spacetimes from AdS null and cosmological solutions

By K. Balasubramanian, K. Narayan. 2010

172 citations recorded by the source corpus.

We describe solutions of 10-dimensional supergravity comprising null deformations of AdS5 × S5 with a scalar field, which have z = 2 Lifshitz symmetries. The bulk Lifshitz geometry in 3 + 1-dimensions arises by dimensional reduction of these solutions. The dual field theory in this case is a deformation of the $ \mathcal{N} = 4 $ super Yang-Mills theory. We discuss the holographic 2-point function of operators dual to bulk scalars. We further describe time-dependent (cosmological) solutions which have anisotropic Lifshitz scaling symmetries. We also discuss deformations of AdS × X in 11-dimensional supergravity, which are somewhat similar to the solutions above. In some cases here, we expect the field theory duals to be deformations of the Chern-Simons theories on M2-branes stacked at singularities.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/533016a77d9e55a4f6fef58e325a860ac4eb6eb7

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Citations in the corpus

Torsional Newton–Cartan geometry and the Schrödinger algebra (2014, unknown): “This interest derives from two developments: the work [10] which showed the usefulness of Newton–Cartan geometry in the effective field theory description of the quantum Hall effect and the work [11, 12], building forth on earlier work [13, 14, 15, 16] and [17, 18, 19, 20, 21, 22], which showed that”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, methodology): “(2)Embeddings of Lifshitz geometries in string theory were constructed in [74, 75, 76, 77, 78, 79, 80, 81, 82].”
Aspects of holography for theories with hyperscaling violation (2012, background): “1 Such metrics have also been found as solutions in string theory, and supergravities which arise simply from string constructions, in [11–18].”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, unknown): “Third, the solution is somewhat analogous to Lifhsitz type solutions [30–33], however, in general the metric in the solution does not have any scaling symmetry.”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, background): “From a 5-dimensional perspective this solution is a z = 0 Schrödinger space-time [33, 35, 34] and reads”
Lifshitz scaling and hyperscaling violation in string theory (2012, methodology): “In the lower dimensional viewpoint, these interpolate between an asymptotic z = 2 3 + 1-dim Lifshitz spacetime (2) [5] for small r and the z = 3, θ = 1 hyperscaling violating metric (9) above for large r.”
Wrapped M5-branes, consistent truncations and AdS/CMT (2010, background): “However, Lif4(z = 2) solutions of type IIB and Lif3(z = 2) solutions of D = 11 supergravity were recently constructed in [36] and these were significantly extended in [37] where supersymmetric solutions were also presented (which should be stable).”
Gauging the Carroll algebra and ultra-relativistic gravity (2015, background): “For example a z = 2 Lifshitz space-time can be uplifted to a 5-dimensional z = 0 Schrödinger space-time [42, 43, 44, 45, 46].”
Lifshitz solutions of D=10 and D=11 supergravity (2010, methodology): “The solutions of [21] can be recovered in the special case when W = 0, f and g are functions only of σ (i.”
Holographic Quantum Matter (2016, background): “There is a large literature constructing Lifshitz spacetimes from consistent truncations of string theory, starting with [65; 210].”
Lifshitz solutions in supergravity and string theory (2010, background): “Several schemes which could support Lifshitz geometries were discussed in [6], and significant progress was made with [7] and, most recently, [8], where it was shown that Lifshitz solutions with the dynamical exponent z = 2 can be embedded into D=10 and D=11 supergravity, by compactifying on Einstei”
Holography of dyonic dilaton black branes (2010, background): “String embeddings of Lifshitz solutions have been described in [17, 47, 48], and simple generalisations of those ideas may well suffice to capture our geometries as well (since the near-horizon physics is governed by a Lifshitz-like metric).”
Black holes and black branes in Lifshitz spacetimes (2011, background): “The formulation with massive gauge ﬁelds can be embedded in supergravity models and string compactiﬁcations [5, 16, 24, 26–29], but as mentioned above, the study of black holes is mostly numerical or for special values of the dynamical exponent z .”