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Topology of critical points and Hawking-Page transition

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arxiv 2208.06388 v1 pith:43FXZVWT submitted 2022-08-12 hep-th gr-qc

Pavan Kumar Yerra , Chandrasekhar Bhamidipati , Sudipta Mukherji This is my paper · ORCID
classification hep-thgr-qc
keywords topologicalchargechargescomputeconstructionenergyfreehawking-page
verification ladder T0 review T1 audit T2 compute T3 formal
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Using the Bragg-Williams construction of an off-shell free energy we compute the topological charge of the Hawking-Page transition point for black holes in AdS. A computation following from a related off-shell effective potential in the boundary gauge dual matches the value of topological charge obtained in the bulk. We also compute the topological charges of the equilibrium phases of these systems, which follow from the saddle points of the appropriate free energy. The locally stable and unstable phases turn out to have topological charges opposite to each other, with the total being zero, in agreement with the result obtained from a related construction [arXiv:2208.01932].

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Cited by 3 Pith papers

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

  1. Extended thermodynamical topology of black hole

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    The paper introduces a unified extended thermodynamical topology framework for black holes and claims a correspondence between zeros of higher-order vector fields and critical exponents.

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    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

  3. Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture

    gr-qc 2025-02 reject novelty 4.0 of 10

    A Fock-space percolation model of a chiral spin chain is claimed to reproduce charged-black-hole scaling exponents, with exponential cluster growth proposed as the key formation criterion.

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