Work

Discontinuity in RG flows across dimensions: entanglement, anomaly coefficients and geometry

Year: 2024

Type: article

Abstract: A bstract We study the entanglement entropy associated with a holographic RG flow from AdS 7 to AdS 4 × ℍ 3 , where 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep08(2024)158

Authors: José de-la-Cruz-Moreno, James T. Liu, Leopoldo A. Pando Zayas

Institutions: University of Michigan, The Abdus Salam International Centre for Theoretical Physics (ICTP)

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: U.S. Department of Energy, Secretaría de Estado de Ciencia, Tecnología e Innovación

Award: PROPOSAL TO STUDY THE PROPERTIES AND INTERACTIONS OF ELEMENTARY PARTICLES