Complex BPS Black Holes in AdS$_3\times S^3$
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866913168406609920 |
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| author | Larsen, Finn Sharma, Kartik |
| author_facet | Larsen, Finn Sharma, Kartik |
| contents | The correct gravitational representation of the supersymmetric index is a smooth complex solution, rather than the na\"ıve Euclidean continuation of the Lorentizan BPS black hole. We construct such saddles for black holes with \(\mathrm{AdS}_3\times S^3\) boundary conditions in the STU model. We arrive at the same finite-temperature BTZ \(\times S^3\) geometries in two independent ways: from two-center four-dimensional BPS solutions with complex dipole charges, and from six-dimensional black strings after imposing the BPS relation among conserved charges. We analyze the resulting smoothness and periodicity conditions and show that they are precisely those required for globally well-defined supersymmetry and for the thermodynamic potentials of the supersymmetric index. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28737 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complex BPS Black Holes in AdS$_3\times S^3$ Larsen, Finn Sharma, Kartik High Energy Physics - Theory The correct gravitational representation of the supersymmetric index is a smooth complex solution, rather than the na\"ıve Euclidean continuation of the Lorentizan BPS black hole. We construct such saddles for black holes with \(\mathrm{AdS}_3\times S^3\) boundary conditions in the STU model. We arrive at the same finite-temperature BTZ \(\times S^3\) geometries in two independent ways: from two-center four-dimensional BPS solutions with complex dipole charges, and from six-dimensional black strings after imposing the BPS relation among conserved charges. We analyze the resulting smoothness and periodicity conditions and show that they are precisely those required for globally well-defined supersymmetry and for the thermodynamic potentials of the supersymmetric index. |
| title | Complex BPS Black Holes in AdS$_3\times S^3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.28737 |