Instability of Black Holes in AdS$_3 \times S^3$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912468300726272 |
|---|---|
| author | Larsen, Finn Lee, Siyul |
| author_facet | Larsen, Finn Lee, Siyul |
| contents | Extremal and near extremal black holes are unstable, unless they are protected by supersymmetry. For black holes in AdS$_3 \times S^3$, we study the range of parameters that bound the unstable region, the fate of extremal black holes that are unstable, and the true ground state in super-selection sectors where no isolated black hole solution exists. Thermodynamics generally favors a central black hole surrounded by chiral primaries that carry a significant fraction of the conserved charges. We give a dynamical interpretation of decay, by computing the linear response functions in the dual CFT$_2$ and showing that the onset of instability agrees with thermodynamics. To understand the nature of the decay products, we construct several new families of classical string solutions. They are ``giants" that move on both the AdS$_3$ and the $S^3$, and may have interesting applications beyond those we develop. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04131 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Instability of Black Holes in AdS$_3 \times S^3$ Larsen, Finn Lee, Siyul High Energy Physics - Theory Extremal and near extremal black holes are unstable, unless they are protected by supersymmetry. For black holes in AdS$_3 \times S^3$, we study the range of parameters that bound the unstable region, the fate of extremal black holes that are unstable, and the true ground state in super-selection sectors where no isolated black hole solution exists. Thermodynamics generally favors a central black hole surrounded by chiral primaries that carry a significant fraction of the conserved charges. We give a dynamical interpretation of decay, by computing the linear response functions in the dual CFT$_2$ and showing that the onset of instability agrees with thermodynamics. To understand the nature of the decay products, we construct several new families of classical string solutions. They are ``giants" that move on both the AdS$_3$ and the $S^3$, and may have interesting applications beyond those we develop. |
| title | Instability of Black Holes in AdS$_3 \times S^3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.04131 |