Non-Abelian U duality at work
Non-Abelian U duality at work
复制标题
DOI：
10.1103/physrevd.104.046015
复制
发表时间：
2020-12
影响因子：
5
通讯作者：
E. Musaev;Y. Sakatani
中科院分区：
文献类型：
--
作者：
E. Musaev;Y. Sakatani
非交换U-对偶起源于例外Drinfel'd代数（EDA）的构造，它扩展了经典Drinfel'd double的压缩.这种对称性是Poisson-Lie T-对偶的自然延伸，被认为是II型弦/M-理论或它们的低能等效理论的对称性。本文考虑了11维或10维背景的非阿贝尔U-对偶，从En（n）EDA开始，n ≤ 6，带消失长号规范.后者保证所有的对偶背景满足标准的超引力运动方程。特别地，当对偶包括类时T-对偶时，我们得到了M-理论或II型背景方程的解。此外，从共边界EDA的，我们提供了M-理论和IIB型背景的广义杨巴克斯特变形的例子。所得到的结果提供了明确的例子时，非阿贝尔U-对偶工程以及作为一个解决方案生成变换。
Non-abelian U-duality originates from the construction of exceptional Drinfel’d algebra (EDA), which extends the constriction of the classical Drinfel’d double. This symmetry is a natural extension of Poisson–Lie T-duality and is believed to be a symmetry of Type II string/M-theory or their low-energy effective theories. In this paper, we consider non-abelian U-dualities of 11- or 10-dimensional backgrounds starting with E n ( n ) EDA with n ≤ 6 with vanishing trombone gauging. The latter guarantees that all dual backgrounds satisfy the standard supergravity equations of motion. In particular, when the duality includes a timelike T-duality, we obtain solutions of M ∗ -theory or Type II ∗ background equations, as expected. Also starting with coboundary EDA’s we provide examples of generalised Yang–Baxter deformations of M-theory and Type IIB backgrounds. The obtained results provide explicit examples when non-abelian U-duality works well as a solution generating transformation.