Supersymmetric Black Hole Hair and AdS_3 x S^3

Fuente: arXiv
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Autores principales: Bandyopadhyay, Subhodip, Srivastava, Yogesh K., Virmani, Amitabh
Formato: Preprint
Publicado: 2024
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author Bandyopadhyay, Subhodip
Srivastava, Yogesh K.
Virmani, Amitabh
author_facet Bandyopadhyay, Subhodip
Srivastava, Yogesh K.
Virmani, Amitabh
contents The 4D-5D connection allows us to view the same near horizon geometry as part of a 4D black hole or a 5D black hole. A much studied example of this phenomenon is the BMPV black hole uplifted to 6D with flat base space versus Taub-NUT base space. These black holes have identical near horizon AdS_3 x S^3 geometry. In this paper, we study modes in AdS_3 x S^3 and identify those that correspond to supersymmetric hair modes in the full black hole spacetimes. We show that these modes satisfy non-normalisable boundary conditions in AdS_3. The non-normalisable boundary conditions are different for different hair modes and for different asymptotic completion. We also discuss how the supersymmetric hair modes on BMPV black holes fit into the classification of supersymmetric solutions of 6D supergravity.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13398
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Supersymmetric Black Hole Hair and AdS_3 x S^3
Bandyopadhyay, Subhodip
Srivastava, Yogesh K.
Virmani, Amitabh
High Energy Physics - Theory
General Relativity and Quantum Cosmology
The 4D-5D connection allows us to view the same near horizon geometry as part of a 4D black hole or a 5D black hole. A much studied example of this phenomenon is the BMPV black hole uplifted to 6D with flat base space versus Taub-NUT base space. These black holes have identical near horizon AdS_3 x S^3 geometry. In this paper, we study modes in AdS_3 x S^3 and identify those that correspond to supersymmetric hair modes in the full black hole spacetimes. We show that these modes satisfy non-normalisable boundary conditions in AdS_3. The non-normalisable boundary conditions are different for different hair modes and for different asymptotic completion. We also discuss how the supersymmetric hair modes on BMPV black holes fit into the classification of supersymmetric solutions of 6D supergravity.
title Supersymmetric Black Hole Hair and AdS_3 x S^3
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2407.13398