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arXiv · 2207.04776

Remarks on Entanglement for Fuzzy Geometry and Gravity

V. P. Nair
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Abstract

We consider defining a fuzzy space by a specific state in a fermionic field theory in terms of which all the observables for the space can be evaluated. This allows for a definition of entanglement for a fuzzy space by direct integration of the fields over a certain region. Even though the resulting formula for the entanglement entropy (EE) is similar to what has been used in the quantum Hall effect, our derivation provides a novel perspective. We also review and strengthen the arguments for the EE to be described by a generalized Chern-Simons form.

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V. P. Nair. 2022-07-11. Remarks on Entanglement for Fuzzy Geometry and Gravity. https://arxiv.org/abs/2207.04776

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