Abstract
We study the entanglement entropy associated with a holographic RG flow from AdS7 to AdS4 × ℍ3, where ℍ3 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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Acknowledgments
We are grateful to Evan Deddo, Ioannis Papadimitriou and Christoph Uhlemann for various comments. This work is partially supported by the U.S. Department of Energy under grant DE-SC0007859. The work of J. de-la-Cruz-Moreno is mostly supported by the Mexican Government through Secretaría de Educación, Ciencia, Tecnología e Innovación de la Ciudad de México (SECTEI). Partial funding was also provided by the Leinweber Center for Theoretical Physics (LCTP). LPZ gratefully acknowledges support from an IBM Einstein fellowship while at the Institute for Advanced Study.
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de-la-Cruz-Moreno, J., Liu, J.T. & Pando Zayas, L.A. Discontinuity in RG flows across dimensions: entanglement, anomaly coefficients and geometry. J. High Energ. Phys. 2024, 158 (2024). https://doi.org/10.1007/JHEP08(2024)158
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DOI: https://doi.org/10.1007/JHEP08(2024)158