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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Criticality of ISCOs and AdS/CFT

  • Chandrasekhar Bhamidipati1
  • Parashar Chatterjee2,3
  • Sudipta Mukherji4
  • Yogesh Kumar Srivastava2,3
4 affiliations
  1. 1Indian Institute of Technology Bhubaneswar
  2. 2National Institute of Science Education and Research (NISER)
  3. 3Homi Bhabha National Institute, Training School Complex
  4. 4Indian Statistical Institute
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Abstract

A bstract : We study the trajectories of massive particles in spherically symmetric black holes in arbitrary dimensions, and find certain universal features based on the topological classification of the fixed points. If the system admits a center, we find two possible outcomes: regardless of the value of the angular momentum, the center always survives, which is realized in global AdS spacetimes or, the center disappears below a critical value of angular momentum, which happens for various spherically symmetric black holes. For the latter case, we find that irrespective of the details of the black hole, there must always be a saddle point. Topological arguments show that there exists a certain critical value of energy, angular momentum and the angular velocity, where the center and the saddle coalesce. This happens at a special point in the parameter space where the trajectories are the limiting innermost stable circular orbits (ISCOs). At the critical point, conserved quantities show universal, van der Waals-like mean-field scaling typical of a second-order phase transition. The anomalous dimensions γ of the double-twist operators in the CFT are found, both using AdS/CFT and through the heavy-heavy-light-light four point correlators, giving negative and positive values for the center and saddle, respectively, including the emergence of certain non-analytic behaviour at the ISCO. For the center, we also find subleading corrections in 1/(Δ H) 1 ∆ H to γ in the dual CFT, and discuss the implications of our results.

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Cite

BibTeXRIS
BibTeX
@article{bhamidipati2026criticality,
  title = {{Criticality of ISCOs and AdS/CFT}},
  author = {Chandrasekhar Bhamidipati and Parashar Chatterjee and Sudipta Mukherji and Yogesh Kumar Srivastava},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)266},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)266},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Criticality of ISCOs and AdS/CFT
AU  - Chandrasekhar Bhamidipati
AU  - Parashar Chatterjee
AU  - Sudipta Mukherji
AU  - Yogesh Kumar Srivastava
PY  - 2026
DA  - 2026/10/01
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)266
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)266
AB  - A bstract : We study the trajectories of massive particles in spherically symmetric black holes in arbitrary dimensions, and find certain universal features based on the topological classification of the fixed points. If the system admits a center, we find two possible outcomes: regardless of the value of the angular momentum, the center always survives, which is realized in global AdS spacetimes or, the center disappears below a critical value of angular momentum, which happens for various spherically symmetric black holes. For the latter case, we find that irrespective of the details of the black hole, there must always be a saddle point. Topological arguments show that there exists a certain critical value of energy, angular momentum and the angular velocity, where the center and the saddle coalesce. This happens at a special point in the parameter space where the trajectories are the limiting innermost stable circular orbits (ISCOs). At the critical point, conserved quantities show universal, van der Waals-like mean-field scaling typical of a second-order phase transition. The anomalous dimensions γ of the double-twist operators in the CFT are found, both using AdS/CFT and through the heavy-heavy-light-light four point correlators, giving negative and positive values for the center and saddle, respectively, including the emergence of certain non-analytic behaviour at the ISCO. For the center, we also find subleading corrections in 1/(Δ _H) 1 ∆ H to γ in the dual CFT, and discuss the implications of our results.
SN  - 1029-8479
ER  -