标题： 螺母、螺栓和主轴 显示英文标题

标题： NUTs, Bolts, and Spindles

摘要： 我们构造了四维极小带电超引力新的无穷类欧几里得超对称解，这些解包括轨道丛线丛总空间上的一种 $U (1) \times U (1)$-不变渐近局部双曲度量，该轨道丛线丛定义在一个纺锤体（bolt）上。 共形边界通常是一个扭歪的、分支的透镜空间，而引力磁单极规范场可以通过纺锤体bolt表现出扭或反扭。 相应地，边界几何继承了两类刚性Killing旋量，我们将其称为三维Seifert orbifold中的扭和反扭，并且对于背景规范场存在一些特定的平坦联络，由纺锤体bolt的数据确定。 对于所有解，我们计算了全息重整化的方程作用量，并将其与通过等变局域化得到的结果进行比较，在扭和反扭情况下发现了显著不同的行为。 我们的结果为三维 $\mathcal{N}=2$ 超共形场论在Seifert orbifold上的对应局域化配分函数在大 $N$ 极限下的预测提供了精确依据。 显示英文摘要

摘要： We construct new infinite classes of Euclidean supersymmetric solutions of four dimensional minimal gauged supergravity comprising a $U (1) \times U (1)$-invariant asymptotically locally hyperbolic metric on the total space of orbifold line bundles over a spindle (bolt). The conformal boundary is generically a squashed, branched, lens space and the graviphoton gauge field can have either twist or anti-twist through the spindle bolt. Correspondingly, the boundary geometry inherits two types of rigid Killing spinors, that we refer to as twist and anti-twist for the three-dimensional Seifert orbifolds, as well as some specific flat connections for the background gauge field, determined by the data of the spindle bolt. For all our solutions we compute the holographically renormalized on-shell action and compare it to the expression obtained via equivariant localization, uncovering a markedly distinct behaviour in the cases of twist and anti twist. Our results provide precise predictions for the large $N$ limit of the corresponding localized partition functions of three-dimensional $\mathcal{N}=2$ superconformal field theories placed on Seifert orbifolds.