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Magnetic charge and black hole supersymmetric quantum statistical relation

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arxiv 2304.00605 v2 pith:24CP4ZPR submitted 2023-04-02 hep-th gr-qc

classification hep-thgr-qc
keywords blacklimitquantumrelationspacestatisticalsupersymmetricallows
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the thermodynamics in the BPS limit of AdS black holes realizing the topological twist. We use a limiting procedure that allows us to reach the extremal point along a trajectory in the space of supersymmetric Euclidean solutions. We show that on this space we can write a quantum statistical relation, which is well-defined in the BPS limit and relies on imposing a suitable constraint among the chemical potentials, due to supersymmetry and regularity. We stress the importance of this in relating the thermal partition function of the dual field theory to the topologically twisted index.

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Cited by 5 Pith papers

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

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    Supersymmetric Euclidean D=4 N=2 gauged supergravity actions and fluxes localize onto R-symmetry fixed points, proving large-N SCFT free-energy formulas and UV-IR relations.

  2. Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes

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  3. NUTs, Bolts, and Spindles

    hep-th 2024-11 conditional novelty 7.0 of 10

    New infinite families of supersymmetric spindle-bolt solutions with branched lens-space boundaries are constructed, with on-shell actions matching equivariant localization.

  4. The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap

    hep-th 2024-12 conditional novelty 6.0 of 10

    Near-BPS AdS4 Kerr-Newman black holes are described by an SU(1,1|1) super-Schwarzian theory, yielding a predicted mass gap of order N^{-3/2} and a continuous spectrum above it in ABJM.

  5. Gravitational index of the D1-D5-P black string

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    Complex, supersymmetric, non-extremal Euclidean saddles for the D1-D5-P black string realize the gravitational index and match the Cardy formula of the dual elliptic genus.

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