Attractor saddle for 5D black hole index
High Energy Physics - Theory
2026-05-19 v3 General Relativity and Quantum Cosmology
Abstract
In a recent paper, Anupam, Chowdhury, and Sen [arXiv:2308.00038] constructed the non-extremal saddle that reproduces the supersymmetric index of the BMPV black hole with three independent charges in the classical limit. This saddle solution is a finite temperature complex solution saturating the BPS bound. In this paper, we write this solution in a canonical form in terms of harmonic functions on three-dimensional flat base space, thereby showing that it is supersymmetric. We also show that it exhibits the new form of attraction.
Cite
@article{arxiv.2411.12413,
title = {Attractor saddle for 5D black hole index},
author = {Soumya Adhikari and Pavan Dharanipragada and Kaberi Goswami and Amitabh Virmani},
journal= {arXiv preprint arXiv:2411.12413},
year = {2026}
}
Comments
v1: 21 pages; v2: 22 pages, a paragraph added in the conclusions section, version to appear in JHEP; v3: typos corrected