Non-Abelian T-duality as a transformation in Double Field Theory
Non-Abelian T-duality as a transformation in Double Field Theory
复制标题
非阿贝尔T对偶性作为双场理论中的一种变换
DOI：
10.1007/jhep08(2019)115
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发表时间：
2019-03
影响因子：
5.4
通讯作者：
Aybike Çatal-Özer
中科院分区：
文献类型：
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作者：
Aybike Çatal-Özer
非阿贝尔T-对偶（NATD）是一种用于非阿贝尔等距超引力背景的解生成变换。我们证明了NATD可以被描述为一个坐标依赖的O（d，d）变换，其中对坐标的依赖性由与等距群相关的李代数的结构常数决定.除了使计算更容易，这种方法给出了一个自然的嵌入双场论（DFT），一个框架，它提供了一个O（d，d）的协变公式有效的字符串行动的NATD。作为这种嵌入的结果，它变得很容易证明，NATD变换的背景解决超引力方程时，等距代数是么模。如果等距代数是非幺模的，广义的超引力子场被迫对对偶坐标有线性依赖，这意味着所得到的背景解广义超引力方程。
Non-Abelian T-duality (NATD) is a solution generating transformation for supergravity backgrounds with non-Abelian isometries. We show that NATD can be de-scribed as a coordinate dependent O (d, d) transformation, where the dependence on the coordinates is determined by the structure constants of the Lie algebra associated with the isometry group. Besides making calculations significantly easier, this approach gives a natural embedding of NATD in Double Field Theory (DFT), a framework which provides an O (d, d) covariant formulation for effective string actions. As a result of this embedding, it becomes easy to prove that the NATD transformed backgrounds solve supergravity equations, when the isometry algebra is unimodular. If the isometry algebra is non-unimodular, the generalized dilaton field is forced to have a linear dependence on the dual coordinates, which implies that the resulting background solves generalized supergravity equations.