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| Format: | Preprint |
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2023
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| Online-Zugang: | https://arxiv.org/abs/2309.01714 |
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| _version_ | 1866911910282133504 |
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| author | Legramandi, Andrea Macpherson, Niall T. Passias, Achilleas |
| author_facet | Legramandi, Andrea Macpherson, Niall T. Passias, Achilleas |
| contents | We derive necessary and sufficient conditions for warped AdS$_2$ solutions of Type II supergravity to preserve ${\cal N}=1$ supersymmetry, in terms of bispinors. Such solutions generically support an SU$(3)$-structure on their internal manifold M$_8$, which can experience an enhancement to a G$_2$-structure. We perform an SU$(3)$-structure torsion classes analysis and express the fluxes and other physical fields in terms of these, in general. We use our results to derive two new classes of AdS$_2$ solutions. In (massive) Type IIA supergravity we derive an ${\mathcal N}=1$ supersymmetric class for which M$_8$ decomposes as a weak G$_2$-manifold foliated over an interval and which is locally defined in terms of a degree three polynomial. In Type IIB supergravity we find a class of AdS$_2\times\text{S}^2\times\text{CY}_2\timesΣ_2$ solutions preserving small ${\cal N}=4$ supersymmetry, governed by a harmonic function on $Σ_2$ and partial differential equations reminiscent of D3-D7-brane configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01714 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | G-structures for black hole near-horizon geometries Legramandi, Andrea Macpherson, Niall T. Passias, Achilleas High Energy Physics - Theory We derive necessary and sufficient conditions for warped AdS$_2$ solutions of Type II supergravity to preserve ${\cal N}=1$ supersymmetry, in terms of bispinors. Such solutions generically support an SU$(3)$-structure on their internal manifold M$_8$, which can experience an enhancement to a G$_2$-structure. We perform an SU$(3)$-structure torsion classes analysis and express the fluxes and other physical fields in terms of these, in general. We use our results to derive two new classes of AdS$_2$ solutions. In (massive) Type IIA supergravity we derive an ${\mathcal N}=1$ supersymmetric class for which M$_8$ decomposes as a weak G$_2$-manifold foliated over an interval and which is locally defined in terms of a degree three polynomial. In Type IIB supergravity we find a class of AdS$_2\times\text{S}^2\times\text{CY}_2\timesΣ_2$ solutions preserving small ${\cal N}=4$ supersymmetry, governed by a harmonic function on $Σ_2$ and partial differential equations reminiscent of D3-D7-brane configurations. |
| title | G-structures for black hole near-horizon geometries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.01714 |