Entanglement entropy for odd spheres

Abstract

It is shown, non--rigorously, that the effective action on a Z_q factored odd spheres (lune) has a vanishing derivative at q=1. This leaves the effective action on the ordinary odd d-sphere as (minus) the value of the entanglement entropy associated with a (d-2)-sphere. Some numbers are given.

15 pages

References in corpus (5)

• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Entanglement entropy for the n-sphere
• Some Calculable Contributions to Entanglement Entropy
• Holographic models of de Sitter QFTs

Cited by in corpus (19)

• Towards a derivation of holographic entanglement entropy
• On the RG running of the entanglement entropy of a circle
• Entanglement entropy: holography and renormalization group
• A refinement of entanglement entropy and the number of degrees of freedom
• Holographic Entanglement Entropy in Lovelock Gravities
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Numerical determination of the entanglement entropy for free fields in the cylinder
• Universal 3d Cardy Block and Black Hole Entropy
• RG flows in d dimensions, the dilaton effective action, and the a-theorem
• Modular invariance on $S^1\times S^3$ and circle fibrations
• Comments on Squashed-sphere Partition Functions
• Renormalization group flow of entanglement entropy on spheres
• Relating bulk to boundary entanglement
• Mutual information and the F-theorem
• Shape dependence of renormalized holographic entanglement entropy
• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
• Searching for a $C$-function on the three-dimensional sphere
• Disks globally maximize the entanglement entropy in $2+1$ dimensions
• Imaginary mass lune determinants