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The gravitational index of a small black ring

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arxiv 2504.09982 v1 pith:GXM44JZC submitted 2025-04-14 hep-th gr-qc

Subhodip Bandyopadhyay , Gurmeet Singh Punia , Yogesh K. Srivastava , Amitabh Virmani This is my paper
classification hep-thgr-qc
keywords blacksmallsaddleringringssolutionangulararea
verification ladder T0 review T1 audit T2 compute T3 formal
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Certain supersymmetric elementary string states with angular momentum can be viewed as small black rings in a five-dimensional string theory. These black rings have zero area event horizon. The 4D-5D connection relates these small rings to small black holes without angular momentum in one less dimension. Recent works have proposed saddle solutions that compute the supersymmetric index for small black holes using gravitational path integral. In this paper, we propose an analogous saddle solution for a five-dimensional small black ring. The dominant contribution comes from a black ring saddle that rotates in both independent planes in five dimensions and has a finite area event horizon. We also write the saddle solution as a three-center Bena-Warner solution.

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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. Multicentered black hole saddles for supersymmetric indices

    hep-th 2025-07 conditional novelty 7.0 of 10

    Multi-center black hole saddles for the supersymmetric index exist at finite temperature, their on-shell action is the sum of extremal entropies, and the entire moduli space of saddles vanishes at walls of marginal stability.

  2. Index saddle for the D1-D5-P black string and its decoupling limit

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Constructs index saddle for D1-D5-P black string via BPS limit and uplift, with decoupling to BTZ x S^3 computing CFT index.

  3. Index saddle for supersymmetric F1-P black ring

    hep-th 2026-01 conditional novelty 6.0 of 10

    A complex supergravity solution is identified as the index saddle of the F1–P small black ring; its higher-derivative corrections reproduce the microscopic index √(nw−JQ) up to an unfixed constant, in a restricted thi...

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

    hep-th 2026-07 conditional novelty 4.0 of 10

    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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