论文标题
双场理论代数和弯曲$ l_ \ infty $ - 代数
Double field theory algebroid and curved $L_\infty$-algebras
论文作者
论文摘要
DFT代数是公制（或VAISMAN）代数的特殊情况，与理解双场理论的对称性相关。特别是，DFT代数是在载体束上定义的结构，该载体束上的二倍时空，配备了双场理论的C型支架。在本文中，我们将DFT代数的定义作为弯曲的$ l_ \ infty $ -Algebra，并显示如何将双场理论强限制的实施作为$ l_ \ infty $ infty $ -Algebra形态。我们的结果为双场理论和相应的Sigma模型的构建提供了有用的步骤。
A DFT algebroid is a special case of the metric (or Vaisman) algebroid, shown to be relevant in understanding the symmetries of double field theory. In particular, a DFT algebroid is a structure defined on a vector bundle over doubled spacetime equipped with the C-bracket of double field theory. In this paper we give the definition of a DFT algebroid as a curved $L_\infty$-algebra and show how implementation of the strong constraint of double field theory can be formulated as an $L_\infty$-algebra morphism. Our results provide a useful step towards coordinate invariant descriptions of double field theory and the construction of the corresponding sigma-model.
