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来自四维N=4 SO(4)规范超引力的IIB型de Sitter时空与S-折叠

de Sitter and S-folds in type IIB from $\mathcal{N} = 4$ $D = 4$ gauged supergravity

Colin Sterckx

arXiv 2609.05004首次发表:更新:

发表机构

Université Libre de Bruxelles (ULB); International Solvay Institutes(布鲁塞尔自由大学; 国际索尔维研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文对允许dS₄解的四维N=4 SO(4)规范超引力的IIB型提升分类,通过S-折叠商操作得到规避Maldacena-Nunez无-go定理假设的IIB型经典de Sitter解。

AI 中文摘要

本文对允许dS₄解的四维N=4纯SO(4)规范超引力的IIB型提升进行分类。与AdS同类情况类似,这些提升的内部几何由两个S²纤维在黎曼曲面Σ上构成,且由Σ上的一对调和函数h₁、h₂分类,为IIB型理论提供了新的de Sitter解族。在Σ=ℝ×I上选取特定函数h₁、h₂后,我们沿内部空间的非紧方向对其进行S-折叠商操作。该S-折叠使我们能够规避Maldacena-Nunez无-go定理的假设,得到IIB型超引力的经典de Sitter解,其四维有效牛顿常数有限且非零。

英文摘要

In this paper, we classify the type IIB uplifts of the $\mathcal{N}=4$ $D=4$ pure $\text{SO}(4)$-gauged supergravity admitting a dS$_4$ solution. As for their AdS cousins, the internal geometries of these uplifts consist of two $S^2$ fibred over a Riemann surface $Σ$, and are classified by pairs of harmonic functions $h_{1,\,2}$ on $Σ$, providing a new family of de Sitter solutions in type IIB. Choosing specific functions $h_{1,\,2}$ on $Σ= \mathbb{R} \times I$, we perform an S-fold quotient of the internal space along its non-compact direction. This S-folding allows us to evade the assumptions of the Maldacena-Nunez no-go theorem and provides a classical de Sitter solution of type IIB supergravity with finite and non-vanishing four-dimensional effective Newton constant.

Comments21 pages, minor corrections

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