Entanglement of Internal Degrees of Freedom and Holography

Sumit Ranjan Das (U Kentucky)

Sep 04. 2023, 14:45 — 15:10

We discuss ideas 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 non-perturbatively 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 Ryu-Takayanagi surfaces which are smeared along the AdS directions, and anchored on a subregion of the internal space Y.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Large-N Matrix Models and Emergent Geometry (Workshop)
Organizer(s):
Sumit Ranjan Das (U Kentucky)
Masanori Hanada (QMU London)
Sean Hartnoll (U of Cambridge)
Antal Jevicki (Brown U, Providence)
Joanna Karczmarek (UBC)
Harold Steinacker (U of Vienna)