论文标题
一致的截断和二元性
Consistent Truncations and Dualities
论文作者
论文摘要
广义几何形状和扩展田间理论的最新进展表明，一致的截断和二元性之间有着深厚的联系，这并不明显。一个典型的例子是双场理论中的史舍克·斯克瓦兹（Scherk-Schwarz）的广义降低，这已被证明是与泊松lie t偶尔一对一的对应关系。在这里，我们证明这种关系只是冰山一角。当前，最通用的T偶对类（不包括镜子对称性）的类别是基于调味料的。但是，正如我们讨论的那样，它们可以进一步扩展到更大的广义coset类。我们证明，后者产生了可以系统地构建Ansatz的一致截断。因此，我们为许多新的T偶尔示例和一致的截断铺平了道路。出现的结构导致具有两个以上衍生物的协变量张量，我们认为它们可能是理解广义的T偶数和一致的截断的关键，超出了领先的两个导数水平。
Recent progress in generalised geometry and extended field theories suggests a deep connection between consistent truncations and dualities, which is not immediately obvious. A prime example is generalised Scherk-Schwarz reductions in double field theory, which have been shown to be in one-to-one correspondence with Poisson-Lie T-duality. Here we demonstrate that this relation is only the tip of the iceberg. Currently, the most general known classes of T-dualities (excluding mirror symmetry) are based on dressing cosets. But as we discuss, they can be further extended to the even larger class of generalised cosets. We prove that the latter give rise to consistent truncations for which the ansatz can be constructed systematically. Hence, we pave the way for many new examples of T-dualities and consistent truncations. The arising structures result in covariant tensors with more than two derivatives and we argue how they might be key to understand generalised T-dualities and consistent truncations beyond the leading two derivative level.
