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arXiv · 2303.13711

Aspects of Holographic Entanglement Entropy in Cubic Curvature Gravity

Andrés Argandoña
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Abstract

In this thesis we explore general aspects of the entanglement entropy (EE) for Conformal Field Theories (CFTs) dual to Cubic Curvature Gravity. We derived a covariant expression for the EE by using a scheme inherited from the bulk renormalization method through extrinsic counterterms. We evaluate this functional in different entangling regions to calculate CFT data. In particular, we compute the $t_4$ coefficient of the 3-point function of the stress-tensor correlator by considering a deformed entangling region. We observe that there is a discrepancy between the outcomes attained through the employment of the EE functional for minimal and non-minimal splittings. We find that only the $t_4$ obtained from the non-minimal functional agrees with previous results in the literature that were computed by splitting-independent CFT methods for specific theories such as the massless graviton case.

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Andrés Argandoña. 2023-03-23. Aspects of Holographic Entanglement Entropy in Cubic Curvature Gravity. https://arxiv.org/abs/2303.13711

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