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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Hampapura, H.R., Harper, J. & Lawrence, A. Target space entanglement in Matrix Models. J. High Energ. Phys. 2021, 231 (2021). https://doi.org/10.1007/JHEP10(2021)231
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DOI: https://doi.org/10.1007/JHEP10(2021)231