论文标题
kaluza-klein减少最大超对称的五维洛伦兹的空间
Kaluza-Klein reductions of maximally supersymmetric five-dimensional lorentzian spacetimes
论文作者
论文摘要
最小的（分级亚代代代代代骨的过滤变形）最小的五维庞加尔超级甲壳虫的过滤变形导致两类最大超对称的空间。一个类是最小五维超级重力的最大性超对称背景，而另一个类似乎与超级重力无关。本文是对kaluza - klein降低至后一类最大超对称空间的四个维度的研究。我们对这些背景的减少洛伦兹和里曼尼亚kaluza进行了分类，确定保留在还原下的超对称的比例，在大多数情况下，确定了四维商的几何形状。在发现的许多超对称商中，我们重点介绍了许多新型的非均匀的四维Lorentzian SpaceTimes承认$ n = 1 $ supersymmetry，其超对称代数并不是任何四维$ n = 1 $ n = 1 $ poinccare superge superge的超级代数的过滤级别的变形。这些四维洛伦兹的空间中的任何一个都可以作为建造新的僵化超对称田野理论的舞台。
A recent study of filtered deformations of (graded subalgebras of) the minimal five-dimensional Poincaré superalgebra resulted in two classes of maximally supersymmetric spacetimes. One class are the well-known maximally supersymmetric backgrounds of minimal five-dimensional supergravity, whereas the other class does not seem to be related to supergravity. This paper is a study of the Kaluza--Klein reductions to four dimensions of this latter class of maximally supersymmetric spacetimes. We classify the lorentzian and riemannian Kaluza--Klein reductions of these backgrounds, determine the fraction of the supersymmetry preserved under the reduction and in most cases determine explicitly the geometry of the four-dimensional quotient. Among the many supersymmetric quotients found, we highlight a number of novel non-homogeneous four-dimensional lorentzian spacetimes admitting $N=1$ supersymmetry, whose supersymmetry algebra is not a filtered deformation of any graded subalgebra of the four-dimensional $N=1$ Poincaré superalgebra. Any of these four-dimensional lorentzian spacetimes may serve as the arena for the construction of new rigidly supersymmetric field theories.
