PreprintCC BY 4.0arXiv
Allowable complex saddles with real charges in the gravitational index
Abstract
We present a new supersymmetric, non-extremal complexification of asymptotically AdS black holes, characterized by real charges and multiple complex horizons. We investigate whether these solutions define admissible supersymmetric saddles of the gravitational path integral by applying the Kontsevich-Segal-Witten (KSW) criterion, and compare the resulting gravitational constraints with the convergence conditions of the dual superconformal index. For most of the cases studied, the KSW criterion in the asymptotic region agrees with the index convergence, while the full bulk condition is more stringent and excludes saddles whose chemical potentials lie within the index-convergence domain.
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BibTeX
@misc{billiato2026allowable,
title = {{Allowable complex saddles with real charges in the gravitational index}},
author = {Fabio Billiato and Gianmarco Esposto},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.35961},
eprint = {2609.35961},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35961},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Allowable complex saddles with real charges in the gravitational index
AU - Fabio Billiato
AU - Gianmarco Esposto
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2609.35961
UR - https://arxiv.org/abs/2609.35961
AB - We present a new supersymmetric, non-extremal complexification of asymptotically AdS black holes, characterized by real charges and multiple complex horizons. We investigate whether these solutions define admissible supersymmetric saddles of the gravitational path integral by applying the Kontsevich-Segal-Witten (KSW) criterion, and compare the resulting gravitational constraints with the convergence conditions of the dual superconformal index. For most of the cases studied, the KSW criterion in the asymptotic region agrees with the index convergence, while the full bulk condition is more stringent and excludes saddles whose chemical potentials lie within the index-convergence domain.
ER -