# Entanglement of Internal Degrees of Freedom, Finiteness and Holography

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Sumit Das
- Year: 2023
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3016495)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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 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. .

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## Lectures

1. [Entanglement of Internal Degrees of Freedom, Finiteness and Holography](https://invisiblenetwork.ai/learn/cern/3016495/b51c4aae8fc4), 1 h 15 min (CERN's player)