A note on the admissibility of complex BTZ metrics

0571628 - FZÚ 2024 RIV DE eng J - Journal Article
Basile, I. - Campoleoni, A. - Raeymaekers, Joris
A note on the admissibility of complex BTZ metrics.
Journal of High Energy Physics. Roč. 2023, č. 3 (2023), č. článku 187. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : models of quantum gravity * black holes * AdS-CFT correspondence
OECD category: Particles and field physics
Impact factor: 5.4, year: 2022
Method of publishing: Open access

We perform a nontrivial check of Witten’s recently proposed admissibility criterion for complex metrics. We consider the ‘quasi-Euclidean’ metrics obtained from continuing the BTZ class of metrics to imaginary time. Of special interest are the overspinning metrics, which are smooth in this three-dimensional context. Their inclusion as saddle points in the gravitational path integral would lead to puzzling results in conflict with those obtained using other methods. It is therefore encouraging that the admissibility criterion discards them. For completeness, we perform an analysis of smoothness and admissibility for the family of quasi-Euclidean BTZ metrics at all values of the mass and angular momentum.
Permanent Link: https://hdl.handle.net/11104/0347563