Supersymmetric Warped Solutions from Type IIB Orientifold Reduction
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| Format: | Preprint |
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2025
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| author | Maurelli, S. Noris, R. Oyarzo, M. Samtleben, H. Trigiante, M. |
| author_facet | Maurelli, S. Noris, R. Oyarzo, M. Samtleben, H. Trigiante, M. |
| contents | We construct a family of supersymmetric solutions in Type IIB supergravity of the form ${\rm WAdS}_3\times {\rm WS}^3\times T^4$, where ${\rm WAdS}_3$ and ${\rm WS^3}$ denote a warped anti-de Sitter spacetime and a warped 3-sphere, respectively, while $T^4$ denotes an internal 4-torus. These backgrounds are constructed by uplifting corresponding solutions in the $D=6$, $\mathcal{N}=(1,1)$ ungauged supergravity resulting from the compactification of Type IIB supergravity on a $T^4/\mathbb{Z}_2$-orientifold. More specifically, the supersymmetric solutions are ${\rm WAdS}_3\times {\rm WS}^3\times T^4$ with lightlike warped AdS$_3$ and ${\rm WAdS}_3\times {\rm S}^3\times T^4$ in which the warping of AdS$_3$ is generic. Moreover, we also construct solutions in the form of a warped product $\mathrm{LM}^3_{ζ,ω}\times_{\rm w} \mathrm{S}^3\times T^4$ of a 2-parameter deformation $\mathrm{LM}^3_{ζ,ω}$ of ${\rm AdS}_3$ and a three-sphere. We discuss the relation of these backgrounds to known solutions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_16822 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric Warped Solutions from Type IIB Orientifold Reduction Maurelli, S. Noris, R. Oyarzo, M. Samtleben, H. Trigiante, M. High Energy Physics - Theory General Relativity and Quantum Cosmology We construct a family of supersymmetric solutions in Type IIB supergravity of the form ${\rm WAdS}_3\times {\rm WS}^3\times T^4$, where ${\rm WAdS}_3$ and ${\rm WS^3}$ denote a warped anti-de Sitter spacetime and a warped 3-sphere, respectively, while $T^4$ denotes an internal 4-torus. These backgrounds are constructed by uplifting corresponding solutions in the $D=6$, $\mathcal{N}=(1,1)$ ungauged supergravity resulting from the compactification of Type IIB supergravity on a $T^4/\mathbb{Z}_2$-orientifold. More specifically, the supersymmetric solutions are ${\rm WAdS}_3\times {\rm WS}^3\times T^4$ with lightlike warped AdS$_3$ and ${\rm WAdS}_3\times {\rm S}^3\times T^4$ in which the warping of AdS$_3$ is generic. Moreover, we also construct solutions in the form of a warped product $\mathrm{LM}^3_{ζ,ω}\times_{\rm w} \mathrm{S}^3\times T^4$ of a 2-parameter deformation $\mathrm{LM}^3_{ζ,ω}$ of ${\rm AdS}_3$ and a three-sphere. We discuss the relation of these backgrounds to known solutions. |
| title | Supersymmetric Warped Solutions from Type IIB Orientifold Reduction |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.16822 |