论文标题
扩展的Drinfel'd代数和非亚伯二重性
Extended Drinfel'd algebras and non-Abelian duality
论文作者
论文摘要
Drinfel'd代数给出了广义可行的可行空间的系统构建，这使我们能够研究扩展的T偶（称为Poisson-lie t-Duality）。最近，提出了为了找到广义的u二元性，提出了一个名为Drinfel'd代数（EDA）的延长的Drinfel'd代数（EXDA），并提出了在超级gravity和膜理论的背景下进行了通常的U-二元性的自然扩展。在本文中，我们阐明了EXDA的一般结构，并表明EXDA始终提供一个可行的可行空间，可以将其视为具有广义Nambu-lie结构的组歧管。我们还讨论了基于共同EXDA的宽阳式变形。作为重要的例子，我们考虑$ e_ {n（n）} $ eda for $ n \ leq 8 $，并在M理论和类型IIB理论方面研究各个方面。
A Drinfel'd algebra gives the systematic construction of generalized parallelizable spaces and this allows us to study an extended T-duality, known as the Poisson-Lie T-duality. Recently, in order to find a generalized U-duality, an extended Drinfel'd algebra (ExDA), called the Exceptional Drinfel'd algebra (EDA) was proposed and a natural extension of the usual U-duality was studied both in the context of supergravity and membrane theory. In this paper, we clarify the general structure of ExDAs and show that an ExDA always gives a generalized parallelizable space, which may be regarded as a group manifold with generalized Nambu-Lie structures. We also discuss generalized Yang-Baxter deformations that are based on coboundary ExDAs. As important examples, we consider the $E_{n(n)}$ EDA for $n\leq 8$ and study various aspects, both in terms of M-theory and type IIB theory.
