Comments on the Entanglement Entropy on Fuzzy Spaces

Abstract

We locate the relevant degrees of freedom for the entanglement entropy on some 2+1 fuzzy models. It is found that the entropy is stored in the near boundary degrees of freedom. We give a simple analytical derivation for the area law using $1/N$ like expansion when only the near boundary degrees of freedom are incorporated. Numerical and qualitative evidences for the validity of near boundary approximation are finally given .

14 pages, 2 figures

References in corpus (4)

• TASI lectures on the Holographic Principle
• Where are the black hole entropy degrees of freedom ?
• Entanglement Entropy on Fuzzy Spaces
• Where are the degrees of freedom responsible for black hole entropy?

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• Perturbative entanglement entropy in nonlocal theories
• A generalized volume law for entanglement entropy on the fuzzy sphere
• Green's Function Approach to Entanglement Entropy on Lattices and Fuzzy Spaces
• Euclidean Time Approach to Entanglement Entropy on Lattices and Fuzzy Spaces