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Black Hole Airy Tail.

Stefano Antonini1, Luca V Iliesiu1, Pratik Rath1

  • 1University of California, Leinweber Institute for Theoretical Physics and Department of Physics, Berkeley, California 94720, USA.

Physical Review Letters
|November 21, 2025
PubMed
Summary
This summary is machine-generated.

Researchers introduce the semiquenched entropy in Jackiw-Teitelboim (JT) gravity to study black hole properties. This new measure offers a simpler calculation method while maintaining essential positivity properties for understanding quantum gravity.

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Area of Science:

  • Quantum Gravity
  • Black Hole Physics
  • Matrix Models

Background:

  • Jackiw-Teitelboim (JT) gravity is dual to random matrix ensembles.
  • Annealed and quenched entropies in JT gravity exhibit differences, with quenched entropy becoming negative at low temperatures.
  • Calculating quenched entropy in JT gravity is complex due to an ill-understood replica limit.

Purpose of the Study:

  • Introduce a new quantity, the semiquenched entropy, to simplify calculations in JT gravity.
  • Investigate the properties of black holes in JT gravity, including their ground states.
  • Establish consistency between different computational methods for entropy in JT gravity.

Main Methods:

  • Define and compute the semiquenched entropy in JT gravity.
  • Employ a bulk calculation involving wormholes (Airy limit of the dual matrix integral).
  • Utilize a boundary calculation with one-eigenvalue instanton saddles (Hernández-Cuenca proposal).

Main Results:

  • Demonstrate consistency between bulk and boundary calculations for semiquenched entropy in overlapping regimes.
  • Clarify the breakdown of saddle-point approximation for one-eigenvalue instantons in the replica limit, preventing direct quenched entropy calculation.
  • Show that semiquenched entropy possesses positivity properties akin to quenched entropy.

Conclusions:

  • The semiquenched entropy provides a tractable intermediate quantity for studying JT gravity.
  • The gravitational path integral can be used to prove isolated ground states for black holes in JT gravity.
  • This work offers insights into the relationship between quantum information, black hole thermodynamics, and quantum gravity.