S-折叠背景下共形流形的整体性质
Global Properties of the Conformal Manifold for S-Fold Backgrounds
摘要：
本文研究了具有规范四维最大超引力${\rm U}(1)^2$对称性的单参数$\mathcal{N}=2$反德西特真空族，其规范群为$[{\rm SO}(6)\times {\rm SO}(1,1)]\ltimes \mathbb{R}^{12}$。已知这些背景对应于具有拓扑$S^1\times S^5$的内部流形的IIB型S-折叠解。AdS $_4$真空家族由模数$χ$参数化。虽然$χ$在四维超引力中是非紧的，但我们证明了这只是四维描述的一个假象。我们给出了10维几何解释的模量，并表明它实际上有周期性的$\frac{2π}{T}$，这是倒数半径的$S^1$。我们推导出这一点，提供明确的$D=10$隆起的真空家庭，以及计算整个模量依赖卡鲁扎-克莱因频谱作为$χ$的函数。在特殊值$χ=0$和$χ=\fracπ{T}$下，对称性根据${\rm U}(1)^2\rightarrow{\rm U}(2)$增强，但产生不等价的卡鲁扎-克莱因谱。在$χ=\fracπ{T}$，这实现了一个玻色子版本的“太空入侵者”的情况下，额外的无质量矢量场产生于以前的大规模领域在更高的卡鲁扎-克莱因水平。
英文摘要：
We study a one-parameter family of $\mathcal{N}=2$ anti-de Sitter vacua with ${\rm U}(1)^2$ symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group $[{\rm SO}(6)\times {\rm SO}(1,1)]\ltimes \mathbb{R}^{12}$. These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology $S^1\times S^5$. The family of AdS$_4$ vacua is parametrized by a modulus $χ$. Although $χ$ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description. We give the 10-dimensional geometric interpretation of the modulus and show that it actually has periodicity of $\frac{2π}{T}$, which is the inverse radius of $S^1$. We deduce this by providing the explicit $D=10$ uplift of the family of vacua as well as computing the entire modulus-dependent Kaluza-Klein spectrum as a function of $χ$. At the special values $χ=0$ and $χ=\fracπ{T}$, the symmetry enhances according to ${\rm U}(1)^2\rightarrow{\rm U}(2)$, giving rise however to inequivalent Kaluza-Klein spectra. At $χ=\fracπ{T}$, this realizes a bosonic version of the "space invaders" scenario with additional massless vector fields arising from formerly massive fields at higher Kaluza-Klein levels.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
