论文标题
点粒子的T偶二元性和T折
T-duality and T-folds for point particles
论文作者
论文摘要
我们认为,T偶尔现象不是仅仅是弦乐效应,但在标准点粒子动力学的背景下也很重要。为了说明这一点,我们构建了一个由四维电抢夺背景的四个参数家族,以使这些背景中带电点粒子的动力学对参数的特定置换不敏感,尽管该置换确实改变了背景几何。特别是,我们发现具有二维欧几里得黑洞的欧几里得平面的直接乘积允许一个点粒子T偶偶,均匀曲率为负负曲率。对于中性粒子,此点粒子T偶二维图片会稍作修改,因为T-偶像图不再到处定义,而仅在状态空间的密集开放域上定义。我们建议用点粒子t折的对这种现象的解释。
We argue that the T-duality phenomenon is not exclusively a stringy effect but it is relevant also in the context of the standard point particle dynamics. To illustrate the point, we construct a four-parametric family of four-dimensional electro-gravitational backgrounds such that the dynamics of a charged point particle in those backgrounds is insensitive to a particular permutation of the parameters although this very permutation does alter the background geometry. In particular, we find that a direct product of the Euclidean plane with the two-dimensional Euclidean black hole admits a point-particle T-dual with asymptotically negative curvature. For neutral particles, this point-particle T-duality picture gets slightly modified because the T-duality map is no longer defined everywhere but only on a dense open domain of the space of states. We suggest a possible interpretation of this phenomenon in terms of a point particle T-fold.