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DOE OSTI · 1976569

Target space entanglement in Matrix Models

Hampapura, Harsha R.·Harper, Jonathan·Lawrence, Albion
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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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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSd-branesmatrix modelsmatrix theories

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Hampapura, Harsha R., Harper, Jonathan, Lawrence, Albion. 2021-10-28. Target space entanglement in Matrix Models. https://doi.org/10.1007/jhep10(2021)231

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