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arXiv · 2012.15683

Target space entanglement in Matrix Models

Harsha R. Hampapura·Jonathan Harper·Albion Lawrence
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Abstract

We study target space entanglement in gauged multi-matrix models as models of entanglement between groups of D-branes separated by a planar entangling surface, paying close attention to the implementation of gauge invariance. We open with a review of target space entanglement between identical particles, which shares some important features (specifically a gauged permutation symmetry) with our main problem. For our matrix models, we implement a gauge fixing well-adapted to the entangling surface. In this gauge, we map the matrix model problem to that of entanglement of a $U(1)$ gauge theory on a complete or all-to-all lattice. Matrix elements corresponding to open strings stretching across the entangling surface in the target space lead to interesting contributions to the entanglement entropy.

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BibTeXRIS

Harsha R. Hampapura, Jonathan Harper, Albion Lawrence. 2020-12-31. Target space entanglement in Matrix Models. https://doi.org/10.1007/jhep10(2021)231

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