PIRSA:19120055

Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form

Kirklin, J. (2019). Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form. Perimeter Institute. https://pirsa.org/19120055

Kirklin, Joshua. Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form. Perimeter Institute, Dec. 09, 2019, https://pirsa.org/19120055 

          @misc{ pirsa_PIRSA:19120055,
            doi = {10.48660/19120055},
            url = {https://pirsa.org/19120055},
            author = {Kirklin, Joshua},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {dec},
            note = {PIRSA:19120055 see, \url{https://pirsa.org}}
          }

Joshua Kirklin

Perimeter Institute for Theoretical Physics

Talk number
PIRSA:19120055
Collection
Talk Type
Subject
Abstract

Subregion duality is an idea in holography which states that every subregion of the boundary theory has a corresponding subregion in the bulk theory, called the 'entanglement wedge', to which it is dual. In the classical limit of the gravity theory, we expect the fields in the entanglement wedge to permit a Hamiltonian description involving a phase space and Poisson brackets. In this talk, I will describe how this phase space arises from the point of view of the boundary theory. In particular, I will explain how it emerges from measurements of a certain quantum information-theoretic quantity known as the 'Uhlmann phase', in the boundary subregion.