Holographic Entanglement Entropy for d=4 N=2 SCFTs in F-theory

TL;DR

This paper calculates the holographic entanglement entropy for four-dimensional N=2 SCFTs in F-theory, revealing how higher curvature gravity terms reproduce anomalies and corrections to central charges.

Contribution

It introduces a method to compute entanglement entropy in higher curvature gravity duals of N=2 SCFTs, connecting anomaly matching and 1/N^2 corrections.

Findings

Reproduces the A-type anomaly via entanglement entropy

Shows 1/N^2 corrections arise from higher derivative gravity terms

Establishes a holographic c-theorem for these theories

Abstract

We compute the holographic entanglement entropy in the gravity with higher curvature terms dual to d=4 N=2 SCFTs in F-theory using the method proposed in arXiv:1011.5819. The log term of this entanglement entropy reproduces the A-type anomaly of the dual SCFTs in F- theory using the gravity dual with the higher derivative term, which, using the field redefinition, can be transformed to the Gauss-Bonnet term in the subleading order of a derivative expansion. Our analysis shows that the 1/N^2 correction for the central charges should be produced from the gravity including higher derivative terms up to curvature squared terms. To obtain consistent results, we discuss the holographic c-theorem.