Discontinuity in RG Flows Across Dimensions: Entanglement, Anomaly Coefficients and Geometry
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| Format: | Preprint |
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2023
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| _version_ | 1866929467230781440 |
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| author | de-la-Cruz-Moreno, José Liu, James T. Zayas, Leopoldo A. Pando |
| author_facet | de-la-Cruz-Moreno, José Liu, James T. Zayas, Leopoldo A. Pando |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12382 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Discontinuity in RG Flows Across Dimensions: Entanglement, Anomaly Coefficients and Geometry de-la-Cruz-Moreno, José Liu, James T. Zayas, Leopoldo A. Pando High Energy Physics - Theory 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. |
| title | Discontinuity in RG Flows Across Dimensions: Entanglement, Anomaly Coefficients and Geometry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.12382 |