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arXiv 2210.11596hep-th
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Horndeski引力下膜世界的全息复杂性

Holographic complexity of braneworld in Horndeski gravity

Fabiano F. Santos, Oleksii Sokoliuk, Alexander Baransky

摘要:

本文根据Horndeski引力理论中的CA(Complexity equals action)猜想,研究了探测弦对膜世界复杂性的影响.本文认为,源Horndeski引力的标量场具有空间依赖性.此外,我们的系统包含一个在边界上运动的粒子,这对应于在高维体中插入一个基本弦。这种效应是由Nambu-Goto项给出的,它还包含了我们系统中的时间依赖性和演化。假设适当的初始条件,翘曲因子,标量场和超势值的数值推导,全息复杂性的增长率进行了分析,在所谓的惠勒-德威特(WDW)补丁与类零超曲面存在。

英文摘要:

This work investigates the influence of a probe string on the complexity of braneworld according to the CA (Complexity equals action) conjecture within the Horndeski gravity. In the current study, it is considered that scalar fields that source Horndeski gravity has a spatial dependence. In addition, our system contains a particle moving on the boundary, which corresponds to the insertion of a fundamental string in the higher dimensional bulk. Such an effect is given by the Nambu-Goto term, which also incorporates the time-dependence and evolution in our system. Both warp factor, scalar field, and superpotential values are derived numerically assuming appropriate initial conditions, and the growth rate of holographic complexity is analyzed within the so-called Wheeler-De Witt (WDW) patch with null-like hypersurfaces present.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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