Poisson–Lie T-duality of string effective actions: A new approach to the dilaton puzzle
Poisson–Lie T-duality of string effective actions: A new approach to the dilaton puzzle
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弦有效作用的泊松-李 T 对偶性：膨胀子难题的新方法
DOI：
10.1016/j.geomphys.2018.03.019
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发表时间：
2017
影响因子：
1.5
通讯作者：
Jan Vysoký
中科院分区：
文献类型：
--
作者：
B. Jurčo;Jan Vysoký
对于一类特殊的背景，相互对偶的泊松-李群中的弦σ模型的运动方程是等价的。这种现象被称为Poisson-Lie T-对偶。在相应的弦有效作用量水平上，由于存在非线性子场，问题变得更加复杂，利用Courant代数胚上的Levi-Civita联络，提出了一种新的解决方法.在引入必要的几何工具后，导出了Poisson-Lie T-对偶重子场的计算公式。这提供了弦有效作用量的泊松-李T-对偶性的一个版本。
For a particular class of backgrounds, equations of motion for string sigma models targeted in mutually dual Poisson–Lie groups are equivalent. This phenomenon is called the Poisson–Lie T-duality. On the level of the corresponding string effective actions, the situation becomes more complicated due to the presence of the dilaton field.A novel approach to this problem using Levi-Civita connections on Courant algebroids is presented. After the introduction of necessary geometrical tools, formulas for the Poisson–Lie T-dual dilaton fields are derived. This provides a version of Poisson–Lie T-duality for string effective actions.