论文标题

Horndeski重力中Braneworld的全息复杂性

Holographic complexity of braneworld in Horndeski gravity

论文作者

Santos, Fabiano F., Sokoliuk, Oleksii, Baransky, Alexander

论文摘要

这项工作研究了根据CA(复杂性等于动作)在Horndeski重力中的CA(复杂性等于作用)的探针字符串对Braneworld的复杂性的影响。在当前的研究中,据认为,源horndeski重力具有空间依赖性的标量场。此外,我们的系统包含一个在边界上移动的粒子,该粒子对应于在较高尺寸的体积中插入基本字符串。这种效果由nambu-goto术语给出,这也包含了我们系统中的时间依赖性和进化。扭曲因子,标量场和超电势值都在数值上,假设适当的初始条件,并且在所谓的Wheeler-De Witt(WDW)贴片中分析了具有无效的Hypersurface的所谓的Wheeler-De Witt(WDW)。

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.

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