论文标题
DFT中的公制代数和泊松lie t二维
Metric Algebroid and Poisson-Lie T-duality in DFT
论文作者
论文摘要
在本文中，我们根据[1]中先前给出的公制代数公式研究了DFT的量规不变性和二元性能。本文给出的一般行动的推导不采用该部分条件。取而代之的是，该动作是通过需要对公制代数和DILATON通量的结构函数的前chi身份来确定的。苯基木前的身份也是通用Lichnerowicz公式的足够条件。通过降低波动来实现D维空间的减少。结果包含有关组歧管的理论，或者根据所选背景而定为GSE的理论。作为一个明确的例子，我们将我们的公式应用于在组歧管的有效理论中的泊松lie t偶对。它被配制为包括波动在内的二维差异。
In this article we investigate the gauge invariance and duality properties of DFT based on a metric algebroid formulation given previously in [1]. The derivation of the general action given in this paper does not employ the section condition. Instead, the action is determined by requiring a pre-Bianchi identity on the structure functions of the metric algebroid and also for the dilaton flux. The pre-Bianchi identity is also a sufficient condition for a generalized Lichnerowicz formula to hold. The reduction to the D-dimensional space is achieved by a dimensional reduction of the fluctuations. The result contains the theory on the group manifold, or the theory extending to the GSE, depending on the chosen background. As an explicit example we apply our formulation to the Poisson-Lie T-duality in the effective theory on a group manifold. It is formulated as a 2D-dimensional diffeomorphism including the fluctuations.
