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Non-relativistic holography
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Non-relativistic holography
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We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the corresponding (d+1)-dimensional gravity duals, engineered with a variety of matter Lagrangians, and their finite temperature generalizations. The thermodynamic properties of the finite temperature backgrounds are precisely those expected for anisotropic, scale invariant field theories. The brane and string theory realizations of such backgrounds are briefly discussed, along with their holographic interpretation in terms of marginal but non Lorentz invariant deformations of conformal field theories. We initiate discussion of holographic renormalization in these backgrounds, and note that such systematic renormalization is necessary to obtain the correct behavior of correlation functions.
Forward citations
Cited by 8 Pith papers
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Non-Relativistic Chern-Simons Supergravity with Torsion
A parameterized family of non-relativistic supergravity theories with torsion is obtained in three dimensions from the semigroup expansion of an N=2 supersymmetric Mielke-Baekler algebra.
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Novel five-dimensional rotating Lifshitz black holes with electric and axionic charges
Exact 5D rotating Lifshitz black holes with electric and axionic charges were found and used to show that rotation weakens holographic superconductivity while higher z enhances it.
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Matter one-loop logarithms and homogeneous TTNC scale response of Lifshitz black branes
Computes closed-form logarithmic one-loop coefficients C1, Wh, and C_therm for probe scalar, Dirac, and Maxwell fields on a neutral planar Lifshitz black brane, verifying the relativistic z=1 limit.
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Minisuperspace Double Copy in Lifshitz Spacetimes
A radial operator extracted from the reduced gravitational dynamics in Lifshitz spacetimes directly reproduces the Maxwell operator for the temporal single-copy field without using equations of motion.
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Weyl double copy in Lifshitz spacetimes
The regularization prescription for the Weyl double copy restores consistency with the Kerr-Schild double copy across three distinct Lifshitz black hole examples.
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Quintic Modification to Lifshitz Quasi-topological Black Holes
Numerical solutions for quintic quasi-topological Lifshitz black holes in 5D with massive vector field are built via near-horizon expansion and shooting, yielding positive heat capacity for representative parameters a...
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Dark-Sector Deformations of Holographic Anisotropic Superfluids in Asymptotically Hyperscaling Violation Geometry
Dark-scalar portals in holographic anisotropic superfluids yield negative strip susceptibility at vanishing strength in D=4,5 backgrounds, interpreted as UV decoupling of the portal.
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Matter one-loop logarithms and homogeneous TTNC scale response of Lifshitz black branes
Derives closed expressions for smooth and conical logarithmic coefficients in one-loop matter contributions to Lifshitz black brane thermodynamics and homogeneous TTNC Ward identities for scalar, Dirac, and Maxwell sectors.
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