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Peer-reviewedCC BY 4.0Journal of High Energy Physics

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

  • Kanhu Kishore Nanda1
  • P. Shanmugapriya2
  • Amitabh Virmani1
  1. 1Chennai Mathematical Institute
  2. 2International Centre for Theoretical Sciences, TIFR
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Abstract

A bstract : 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 × 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 × S ³ saddle that computes the index of the D1-D5 CFT.

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Cite

BibTeXRIS
BibTeX
@article{nanda2026index,
  title = {{Index saddle for the D1-D5-P black string and its decoupling limit}},
  author = {Kanhu Kishore Nanda and P. Shanmugapriya and Amitabh Virmani},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)123},
  url = {https://link.springer.com/10.1007/JHEP10(2026)123},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Index saddle for the D1-D5-P black string and its decoupling limit
AU  - Kanhu Kishore Nanda
AU  - P. Shanmugapriya
AU  - Amitabh Virmani
PY  - 2026
DA  - 2026/10/12
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)123
UR  - https://link.springer.com/10.1007/JHEP10(2026)123
AB  - A bstract : 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 × 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 × S ³ saddle that computes the index of the D1-D5 CFT.
SN  - 1029-8479
ER  -