标题： 带有扭曲球面和非阿贝尔T对偶性的几何结构 显示英文标题

标题： Geometries with twisted spheres and non-abelian T-dualities

摘要： 二维场论中的谱流已知对应于引力对偶中两个圆之间的几何扭曲。我们将此操作推广到具有SO(k+1) x SO(k+1)等距性的几何结构，其中k>1，并对所得扭曲背景执行各种非阿贝尔T对偶性。非阿贝尔扭曲和对偶性的结合导致了超引力中一种新的解生成技术，我们将其应用于N=4超杨-米尔斯理论中超对称态的对偶几何结构。 显示英文摘要

摘要： Spectral flow in two-dimensional field theories is known to correspond to geometrical twisting between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1) x SO(k+1) isometries with k>1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in N=4 super-Yang-Mills theory.