Towards OSV in AdS
Abstract
We use supersymmetric localization for 3d 𝒩=2 SCFTs to establish a relation of the form ZS1× S2 ∼ |ZS3b|2 between the superconformal index and the squashed three-sphere partition function. This applies to general 3d 𝒩=2 SCFTs and is derived using a saddle point approximation in the Cardy-like limit of small S1 radius and large squashing parameter. We also show a similar relation between the topologically twisted index and the squashed sphere partition function. In the context of holography our results lead to a relation between the partition function of supersymmetric asymptotically AdS4 black holes and the large N limit of ZS3b of the dual SCFT. Since the latter encodes the gauged supergravity prepotential, this result is akin to the OSV conjecture for asymptotically flat black holes. We confirm this relation in detail for SCFTs arising from M2-branes using recent large N results from supersymmetric localization. We also briefly discuss a similar relation for 5d SCFTs and its implications for asymptotically AdS6 black holes.
BibTeX
@article{bobev2026towards,
title = {{Towards OSV in AdS}},
author = {Nikolay Bobev and Sunjin Choi and Junho Hong and Valentin Reys},
journal = {Journal of High Energy Physics},
year = {2026},
month = sep,
doi = {10.1007/jhep09(2026)076},
eprint = {2606.23893},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05685914v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Towards OSV in AdS
AU - Nikolay Bobev
AU - Sunjin Choi
AU - Junho Hong
AU - Valentin Reys
PY - 2026
DA - 2026/09/04
JO - Journal of High Energy Physics
DO - 10.1007/jhep09(2026)076
UR - https://hal.science/hal-05685914v1
AB - We use supersymmetric localization for 3d 𝒩=2 SCFTs to establish a relation of the form Z_S^1× S^2 ∼ |Z_S^3_b|^2 between the superconformal index and the squashed three-sphere partition function. This applies to general 3d 𝒩=2 SCFTs and is derived using a saddle point approximation in the Cardy-like limit of small S^1 radius and large squashing parameter. We also show a similar relation between the topologically twisted index and the squashed sphere partition function. In the context of holography our results lead to a relation between the partition function of supersymmetric asymptotically AdS_4 black holes and the large N limit of Z_S^3_b of the dual SCFT. Since the latter encodes the gauged supergravity prepotential, this result is akin to the OSV conjecture for asymptotically flat black holes. We confirm this relation in detail for SCFTs arising from M2-branes using recent large N results from supersymmetric localization. We also briefly discuss a similar relation for 5d SCFTs and its implications for asymptotically AdS_6 black holes.
SN - 1126-6708
SN - 1029-8479
ER -