Anisotropic gravity solutions in AdS/CMT

Abstract

We have constructed gravity solutions by breaking the Lorentzian symmetry to its subgroup, which means there is Galilean symmetry but without the rotational and boost invariance. This solution shows anisotropic behavior along both the temporal and spatial directions as well as among the spatial directions and more interestingly, it displays the precise scaling symmetry required for metric as well as the form fields. From the field theory point of view, it describes a theory which respects th5Ae scaling symmetry, $t\to {\lambda }^{z_1}t,x\to {\lambda }^{z_2}t,y\to \lambda y$, for $z_1\ne z_2$, as well as the translational symmetry associated to both time and space directions, which means we have found a non-rotational but Lifshitz-like fixed points from the dual field theory point of view. We also discuss the minimum number of generators required to see the appearance of such Lifshitz points. In 1+1 dimensional field theory, it is 3 and for 2+1 dimensional field theory, the number is 4.

1+16 pp, v2 typos corrected; v3 signs in the generator of scaling corrected

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• Non-relativistic holography
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• On the spectrum of nonrelativistic AdS/CFT
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• Towards Gravity solutions of AdS/CMT
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• More gravity solutions of AdS/CMT

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• NR $CF{T}_3$ duals in M-theory
• Model building in AdS/CMT: DC conductivity and Hall angle
• Near-Horizon Analysis of $\eta /s$
• Generalized Attractor Points in Gauged Supergravity
• QGP time formation in holographic shock waves model of heavy ion collisions
• A Note on Black Holes in Asymptotically Lifshitz Spacetime
• Fermions in non-relativistic AdS/CFT correspondence
• Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces
• New (p+1) Dimensional Non-relativistic Theories from Euclidean Stable and Unstable Dp-Branes
• Non-relativistic supersymmetric Dp branes
• Galilean anti-de-Sitter spacetime in Romans theory
• Power Law Entropy Corrected New-Agegraphic Dark Energy in Hořava-Lifshitz Cosmology
• Generalized Attractors in Five-Dimensional Gauged Supergravity
• Asymptotically AdS spacetimes with a timelike Kasner singularity
• Fermi-like Liquid From Einstein-DBI-Dilaton System
• Approximate strange metallic behavior in AdS
• Stable Bianchi III attractor in $U(1{)}_R$ gauged supergravity