Exceptional points and near-extremal boundary response in rotating BTZ black holes
Abstract
We investigate whether the coalescence of long-lived quasinormal modes enhances the boundary response of rotating BTZ black holes. Using exact scalar solutions with mixed Robin boundary conditions and the retarded boundary correlator, we compare frequency-domain resonances and time-domain signals at fixed source and operator normalizations. An exceptional point (EP) can be crossed by varying the spin alone in a suitably selected fixed theory. Along a distinct near-extremal path that tracks the co-rotating EP surface by tuning the scalar mass and boundary coupling, a taller, narrower resonance coexists with a weaker but longer-lasting double-pole impulse response. The frequency-domain enhancement persists away from the EP and is therefore not unique to mode coalescence. Thus, the EP determines the double-pole structure and Jordan relaxation, but does not by itself determine the response strength, which also depends on the physical path and excitation protocol.
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BibTeX
@misc{long2026exceptional,
title = {{Exceptional points and near-extremal boundary response in rotating BTZ black holes}},
author = {Sheng Long and Yu Shi and Zhongwu Xia and Huajie Gong and Zhoujian Cao and Qin Tan and Qiyuan Pan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.30612},
eprint = {2609.30612},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30612},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exceptional points and near-extremal boundary response in rotating BTZ black holes
AU - Sheng Long
AU - Yu Shi
AU - Zhongwu Xia
AU - Huajie Gong
AU - Zhoujian Cao
AU - Qin Tan
AU - Qiyuan Pan
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2609.30612
UR - https://arxiv.org/abs/2609.30612
AB - We investigate whether the coalescence of long-lived quasinormal modes enhances the boundary response of rotating BTZ black holes. Using exact scalar solutions with mixed Robin boundary conditions and the retarded boundary correlator, we compare frequency-domain resonances and time-domain signals at fixed source and operator normalizations. An exceptional point (EP) can be crossed by varying the spin alone in a suitably selected fixed theory. Along a distinct near-extremal path that tracks the co-rotating EP surface by tuning the scalar mass and boundary coupling, a taller, narrower resonance coexists with a weaker but longer-lasting double-pole impulse response. The frequency-domain enhancement persists away from the EP and is therefore not unique to mode coalescence. Thus, the EP determines the double-pole structure and Jordan relaxation, but does not by itself determine the response strength, which also depends on the physical path and excitation protocol.
ER -