A holographic proof of the universality of corner entanglement for CFTs

Understand

There appears a universal logarithmic term of entanglement entropy, i.e., $-a(\Omega) \log(H/\delta)$, for 3d CFTs when the entangling surface has a sharp corner.

• $a(\Omega)$ is a function of the corner opening angle and behaves as $a(\Omega\to \pi)\simeq \sigma (\pi-\Omega)^2$ and $a(\Omega\to 0)\simeq \kappa/\Omega$, respectively.
• Recently, it is conjectured that $\sigma/C_T=\pi^2/24 $, where $C_T$ is central charge in the stress tensor correlator, is universal for general CFTs in three dimensions.
• In this paper, by applying the general higher curvature gravity, we give a holographic proof of this conjecture.