2026/06/30 by Kanhu Kishore Nanda, P Shanmugapriya, Amitabh Virmani
Physics and Astronomy · #hep-th #gr-qc
44 pages; 1 LaTeX figure, typos corrected
arxiv created 2026/08/01 · arxiv updated 2026/08/04
Boruch, Emparan, Iliesiu, and Murthy recently discussed index saddles for 5d black strings, showing that the black string saddle admits a decoupling limit to a complex, finite-temperature BTZ × S2 saddle that computes the index of the dual CFT. In this paper, we pursue an analogous construction for the D1-D5-P black string. We construct a four-charge index saddle in the four-dimensional STU model as the BPS limit of the non-extremal four-charge black hole, and show that it exhibits the new form of attraction. We then uplift it successively to five and six dimensions, via the 4D-5D connection and a chain of string dualities, to obtain the gravitational index saddle for the D1-D5-P black string. We take a systematic decoupling limit of this index saddle and obtain the BTZ × S3 saddle that computes the index of the D1-D5 CFT.