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arXiv · 2312.12382

Discontinuity in RG Flows Across Dimensions: Entanglement, Anomaly Coefficients and Geometry

José de-la-Cruz-Moreno·James T. Liu·Leopoldo A. Pando Zayas
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Abstract

We study the entanglement entropy associated with a holographic RG flow from $\textrm{AdS}_7$ to $\textrm{AdS}_{4} \times \mathbb{H}_3$, where $\mathbb{H}_3$ is a $3$-dimensional hyperbolic manifold with curvature $κ$. The dual six-dimensional RG flow is disconnected from Lorentz-invariant flows. In this context we address various notions of central charges and identify a monotonic candidate $c$-function that captures IR aspects of the flow. The UV behavior of the holographic entanglement entropy and, in particular its universal term, display an interesting dependence on the curvature, $κ$. We then contrast our holographic results with existing field theory computations in six dimensions and find a series of new corrections in curvature to the universal term in the entanglement entropy.

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José de-la-Cruz-Moreno, James T. Liu, Leopoldo A. Pando Zayas. 2024-08-21. Discontinuity in RG Flows Across Dimensions: Entanglement, Anomaly Coefficients and Geometry. https://arxiv.org/abs/2312.12382

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