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String backgrounds in string geometry
International Journal of Modern Physics A ( IF 1.4 ) Pub Date : 2020-09-30 , DOI: 10.1142/s0217751x20501766
Masaki Honda 1 , Matsuo Sato 2
Affiliation  

String geometry theory is a candidate of the nonperturbative formulation of string theory. In order to determine the string vacuum, we need to clarify how string backgrounds are described in string geometry theory. In this paper, we show that the string backgrounds are embedded in configurations of the fields of a string geometry model. Especially, we show that the configurations satisfy the equations of motion of the string geometry model if and only if the embedded string backgrounds satisfy their equations of motion. This means that classical dynamics of the string backgrounds are described as a part of classical dynamics in string geometry theory. Furthermore, we define an energy of the configurations in the string geometry model because they do not depend on the string geometry time. A string background can be determined by minimizing the energy.

中文翻译:

弦几何中的弦背景

弦几何理论是弦理论非微扰公式的候选者。为了确定弦真空,我们需要阐明弦几何理论中如何描述弦背景。在本文中,我们展示了字符串背景嵌入在字符串几何模型的字段配置中。特别是,我们证明当且仅当嵌入的弦背景满足它们的运动方程时,配置满足弦几何模型的运动方程。这意味着弦背景的经典动力学被描述为弦几何理论中经典动力学的一部分。此外,我们在弦几何模型中定义了配置的能量,因为它们不依赖于弦几何时间。
更新日期:2020-09-30
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