论文标题

矩阵模型和全息图:5D和3D中长颤动理论的质量变形

Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d

论文作者

Akhond, Mohammad, Legramandi, Andrea, Nunez, Carlos, Santilli, Leonardo, Schepers, Lucas

论文摘要

我们扩大了长线性震颤的矩阵模型之间的字典,以保留八个$ d = 5 $和$ d = 3 $的八个增压和类型的IIB超级Gravity背景,并带有广告$ _ {D+1} $ factor。我们介绍了场理论的质量变形,将颤动分解为相互作用的线性颤动的集合,在RG流的末尾被解耦。我们发现并解决了超级重力中的拉普拉斯问题,该问题从全息上意识到了这些变形。在拟议的双重性的两侧计算了反对称威尔逊环的自由能和期望值,发现一致。我们的匹配过程在五个维度上阐明了F Theorem的灯光。

We enlarge the dictionary between matrix models for long linear quivers preserving eight supercharges in $d=5$ and $d=3$ and type IIB supergravity backgrounds with AdS$_{d+1}$ factors. We introduce mass deformations of the field theory that break the quiver into a collection of interacting linear quivers, which are decoupled at the end of the RG flow. We find and solve a Laplace problem in supergravity which realises these deformations holographically. The free energy and expectation values of antisymmetric Wilson loops are calculated on both sides of the proposed duality, finding agreement. Our matching procedure sheds light on the F-theorem in five dimensions.

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