PIRSA:18090038

Holographic entanglement entropy in AdS(4)/BCFT(3) and the Willmore functional

Tonni, E. (2018). Holographic entanglement entropy in AdS(4)/BCFT(3) and the Willmore functional . Perimeter Institute. https://pirsa.org/18090038

Tonni, Erik. Holographic entanglement entropy in AdS(4)/BCFT(3) and the Willmore functional . Perimeter Institute, Sep. 11, 2018, https://pirsa.org/18090038 

          @misc{ pirsa_PIRSA:18090038,
            doi = {10.48660/18090038},
            url = {https://pirsa.org/18090038},
            author = {Tonni, Erik},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Holographic entanglement entropy in AdS(4)/BCFT(3) and the Willmore functional },
            publisher = {Perimeter Institute},
            year = {2018},
            month = {sep},
            note = {PIRSA:18090038 see, \url{https://pirsa.org}}
          }

Erik Tonni

SISSA International School for Advanced Studies

Talk number
PIRSA:18090038
Collection
Talk Type
Subject
Abstract

In the context of the AdS(4)/BCFT(3) correspondence, we study the holographic entanglement entropy for spatial regions having arbitrary shape. An analytic expression for the subleading term with respect to the area law is discussed. When the bulk spacetime is a part of AdS(4),
this formula becomes the Willmore functional with a proper boundary term evaluated on the minimal surface viewed as a submanifold of the three dimensional flat Euclidean space with a boundary. 
Numerical checks of this formula are performed through a code which allows to construct minimal area surfaces anchored to generic curves. For some simple regions like infinite strips and disks, analytic results are obtained and they confirm the general expression for the subleading term. In particular, when the spatial region contains corners adjacent to the boundary, a logarithmic divergence occurs whose coefficient is determined by a so-called corner function which depends on the boundary conditions. An analytic expression for the holographic corner function and its checks are also discussed.