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Holographic dictionary for Lifshitz and hyperscaling violating black holes

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arxiv 2410.16145 v2 pith:ZOCZNVHB submitted 2024-10-21 hep-th gr-qc

Wan Cong , David Kubizňák , Robert B. Mann , Manus R. Visser This is my paper · ORCID
classification hep-thgr-qc
keywords dictionaryblackholesholographichyperscalinglifshitzviolatingeuler
verification ladder T0 review T1 audit T2 compute T3 formal
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We develop a novel holographic dictionary for the thermodynamics of black holes with Lifshitz and hyperscaling violating asymptotics, generalizing the dictionary for Anti-de Sitter black holes. Using our dictionary we show that the holographic Euler equation is dual to a generalized Smarr formula for these black holes, and we find a precise match between the extended bulk and boundary first law. Notably, the dictionary for the central charge appearing in the Euler relation depends on the hyperscaling violating parameter, but not on the Lifshitz dynamical exponent.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topological perspective on bulk boundary thermodynamic equivalence

    hep-th 2025-12 conditional novelty 6.0 of 10

    A two-central-charge CFT dictionary reproduces the extended first law, critical point, and topological charges of the 5D charged Gauss-Bonnet AdS black hole.

  2. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  3. Cardy Entropy of Charged and Rotating Asymptotically AdS and Lifshitz Solutions with a Generalized Chern-Simons term

    hep-th 2025-06 conditional novelty 6.0 of 10

    A generalized Cardy-like formula using the soliton mass as vacuum energy reproduces the entropy of charged rotating AdS and Lifshitz black holes in three dimensions.

  4. Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

    gr-qc 2026-07 reject novelty 4.0 of 10

    For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.

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