Holographic entanglement entropy in the fourth-order scale-invariant gravity

محورهای موضوعی : Journal of Theoretical and Applied Physics

Tahereh Hamedi ¹ , M. Reza Tanhayi ²

1 - Department of Physics, Central Tehran Branch, Islamic Azad University (IAUCTB), Tehran, Iran
2 - Department of Physics, Central Tehran Branch, Islamic Azad University (IAUCTB), Tehran, Iran

تاریخ دریافت : 1401/06/30 تاریخ پذیرش : 1401/08/08 تاریخ انتشار : 1401/12/10

کلید واژه: Entanglement Entropy, Holographic method, Log gravity, mutual information,

چکیده مقاله :

In this paper, we use the holographic method to compute the entanglement entropy for different regions in the fourth-order scale-invariant theory of gravity. In four dimensions, the action of scale-invariant gravity contains a parameter where the moduli space has some distinguished points, precisely, the space of solutions contains the Log-gravity and for this specific solution, we compute the entanglement entropy. We also use the numerical method to investigate mutual information and tripartite information. Moreover, we make a comment on the sign of these quantities.