I will discuss notions of entanglement of internal degrees of freedom in theories of large N matrices. Along with usual base space entanglement, this kind of entanglement (which do not pertain to a subregion of base space) should play a key role in holography, particularly in the emergence of a smooth internal space in the bulk. One such notion is target space entanglement, which appears as entanglement of D branes in the bulk. For the c=1 Matrix Model we will show how the target space entanglement entropy is perturbatively divergent, but nonperturbatively finite. Yet another notion relates to geometriztion of internal symmetries, as in familiar examples of holography n AdS X Y. We provide evidence that the entropy of this kind of entanglement is measured by RyuTakayanagi surfaces which are smeared along the AdS directions, and anchored on a subregion of the internal space Y.
Tuesday
18 Jul/23
14:00

15:30
(Europe/Zurich)