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arXiv · 2606.27093

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

Kanhu Kishore Nanda·P Shanmugapriya·Amitabh Virmani
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Abstract

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 \times S^2 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 \times S^3 saddle that computes the index of the D1-D5 CFT.

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Kanhu Kishore Nanda, P Shanmugapriya, Amitabh Virmani. 2026-06-25. Index saddle for the D1-D5-P black string and its decoupling limit. https://arxiv.org/abs/2606.27093

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