论文标题
有关双场理论中代数的双重方面的更多信息
More on Doubled Aspects of Algebroids in Double Field Theory
论文作者
论文摘要
我们继续研究配备了双场理论（DFT）中配备C型机器的代数结构的两倍方面。我们发现，一个代数，Vaisman（公制或dft），前和前库代数的家族是由Drinfel的类似物构建的，由Drinfel的类似物构成。我们检查了这些代数歧管中这些代数的几何实现，这是对DFT中时空加倍的实现。我们表明，DFT中的强大限制对于实现加倍和非平凡的泊松结构是必要的，但可以放松某些代数。简要讨论了扭曲括号的加倍结构和与组歧管相关的结构。
We continue to study doubled aspects of algebroid structures equipped with the C-bracket in double field theory (DFT). We find that a family of algebroids, the Vaisman (metric or pre-DFT), the pre- and the ante-Courant algebroids are constructed by the analogue of the Drinfel'd double of Lie algebroid pairs. We examine geometric implementations of these algebroids in the para-Hermitian manifold, which is a realization of the doubled space-time in DFT. We show that the strong constraint in DFT is necessary to realize the doubled and non-trivial Poisson structures but can be relaxed for some algebroids. The doubled structures of twisted brackets and those associated with group manifolds are briefly discussed.
