论文标题

类型IIB S折:平面变形,全息和稳定性

Type IIB S-folds: flat deformations, holography and stability

论文作者

Guarino, Adolfo, Sterckx, Colin

论文摘要

我们根据量规/重力二元性和ADS Swampland猜想来回顾S折研究的最新进展。 s折对应于表格$ \,\ textrm {ads} _4 \,\ times \,\ textrm {s}^1 \,\ times \,\ times \,\ nathcal {mathcal {m} \,$ thit涉及非trivialial的非几何背景$ \,\ textrm {sl}(2,\,\,\ Mathbb {z})\,$(s-duality)type iib字段的monodity在$ \,\ textrm {s}}^1 $时移动时。我们通过$ \,\ Mathcal {m} = \ textrm {s}^{5} \,$介绍了四个这样的解决方案,可以保留$ \,\ Mathcal {n} = 4,2,1,0 \,$ supersymmetries。通过AD/CFT对应关系,这些解决方案被猜想以描述SYM局部界面上的新的强耦合三维CFT。我们讨论了重力侧双重形式的平坦变形,以指出S折CFT的边缘变形。从几何学的角度来看,平面变形会引起$ \,\ \ \ nathcal {m} \,$ in $ \,$,$和$ \,$和$ \,\ textrm {s}^1 \,\ times \ times \ times \,\ time $ \,t(\ Mathcal {M})_ H $。有趣的是,扁平变形提供了$ \,\ Mathcal {n} \ ge 2 \,$ s折的超对称性破坏的控制机制。我们提出了通过扁平化$ \,\ MATHCAL {n} = 4 \,$ s折叠并讨论其(非 - 非扰动稳定性)获得的一类这种非苏匹配S折。

We review recent progress in the study of S-folds in light of the gauge/gravity duality and the AdS swampland conjecture. S-folds correspond to non-geometric backgrounds of type IIB supergravity of the form $\,\textrm{AdS}_4 \, \times \, \textrm{S}^1 \, \times \, \mathcal{M}\,$ that involve a non-trivial $\,\textrm{SL}(2,\,\mathbb{Z})\,$ (S-duality) monodromy for the type IIB fields when moving around the $\,\textrm{S}^1$. We present four such solutions with $\,\mathcal{M}=\textrm{S}^{5}\,$ that preserve $\,\mathcal{N}=4,2,1,0\,$ supersymmetries. Via the AdS/CFT correspondence, these solutions are conjectured to describe new strongly coupled three-dimensional CFT's on a localised interface of SYM. We discuss the existence of flat deformations in the gravity side dual to marginal deformations of the conjectured S-fold CFT's. From a geometrical perspective, the flat deformations induce a monodromy $\,h\,$ on $\,\mathcal{M}\,$ and replace $\,\textrm{S}^1 \,\times\, \mathcal{M}\,$ by the so-called mapping torus $\,T(\mathcal{M})_h$. Interestingly, the flat deformations provide a controlled mechanism of supersymmetry breaking for $\,\mathcal{N} \ge 2\,$ S-folds. We present a class of such non-supersymmetric S-folds obtained by flat-deforming the $\,\mathcal{N}=4\,$ S-fold and discuss their (non-)perturbative stability.

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