# Virasoro Entanglement Berry Phases

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Claire Zukowski
- Year: 2022
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3009684)
- 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 describe the parallel transport of modular Hamiltonians encoding entanglement properties of a state. The Berry curvature associated to state-changing parallel transport is the Kirillov-Kostant symplectic form on an associated coadjoint orbit, one which differs appreciably from known Virasoro orbits. I will show that the boundary parallel transport process computes a bulk symplectic form for a Euclidean geometry obtained from the backreaction of a cosmic brane, with Dirichlet boundary conditions at the location of the brane. This construction gives a definition for the symplectic form on an entanglement wedge. .

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## Lectures

1. [Virasoro Entanglement Berry Phases](https://invisiblenetwork.ai/learn/cern/3009684/65581dc34032), 58 min (CERN's player)