论文标题
T偶尔的分类对称性
Categorical symmetries of T-duality
论文作者
论文摘要
拓扑T偶对应关系是较高的分类对象,可以通过严格的谎言2组进行分类。在本文中,我们计算了该2组的分类自动形态组;因此,拓扑T偶对象的较高分类对称性。我们证明,分类自动构成组是整体式伪正交组的非中心分类扩展。我们表明它在几个子组上分裂,并且其K-Invariant是2个扭转。
Topological T-duality correspondences are higher categorical objects that can be classified by a strict Lie 2-group. In this article we compute the categorical automorphism group of this 2-group; hence, the higher-categorical symmetries of topological T-duality. We prove that the categorical automorphism group is a non-central categorical extension of the integral split pseudo-orthogonal group. We show that it splits over several subgroups, and that its k-invariant is 2-torsion.