论文标题
十一维超重度的多向量变形
Polyvector deformations in eleven-dimensional supergravity
论文作者
论文摘要
我们考虑了表格$ m_5 \ times m_6 $至少3个杀戮向量的11维超级背景的3和6矢量变形。使用E $ {} _ {6（6）} $异常场理论的通量公式，我们得出（足够）条件，以使变形生成解决方案。在组歧管情况下，显示了带有3和6指数的R-Matrices的经典Yang-Baxter方程的概括，这些概述可重现从Extifial Drinfeld代数获得的E $ {} _ {} _ {6（6（6）} $中获得的。通常，我们会看到一个其他约束，这可能与较高的特林菲尔德代数有关。
We consider 3- and 6-vector deformations of 11-dimensional supergravity backgrounds of the form $M_5\times M_6$ admitting at least 3 Killing vectors. Using flux formulation of the E${}_{6(6)}$ exceptional field theory we derive (sufficient) conditions for the deformations to generate a solution. In the group manifold case these generalisations of the classical Yang-Baxter equation for the case of r-matrices with 3 and 6 indices are shown to reproduce those obtained from exceptional Drinfeld algebra for E${}_{6(6)}$. In general we see an additional constraint, which might be related to higher exceptional Drinfeld algebras.
