Entanglement of Internal Degrees of Freedom and Holography in Large-N Matrix Models

Explore the concept of entanglement of internal degrees of freedom in large N matrix theories and its role in holography during this 30-minute talk from the Workshop on "Large-N Matrix Models and Emergent Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the importance of this type of entanglement, alongside base space entanglement, in the emergence of smooth internal space in the bulk. Examine target space entanglement and its manifestation as D-brane entanglement in the bulk, with a focus on the c=1 Matrix Model's perturbatively divergent yet non-perturbatively finite target space entanglement entropy. Investigate the geometrization of internal symmetries in holography examples, and discover evidence suggesting that Ryu-Takayanagi surfaces, smeared along AdS directions and anchored on internal space subregions, measure this form of entanglement entropy.