Entanglement hamiltonians in 2D CFT and Shape dependence of holographic entanglement entropy in AdS(4)/CFT(3)

by Dr Erik TONNI (SISSA)

Wednesday 26 Oct 2016, 11:00 → 12:00 Europe/Rome

281 (Department of Physics and Astronomy)

In the first part we enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These include some known time-independent cases and also new examples corresponding to the time-dependent scenarios of a global and local quench. In the second part we discuss the holographic entanglement entropy in AdS4/CFT3 for finite domains with generic shapes. For smooth shapes the constant term can be evaluated by employing a generalisation of the Willmore functional for two dimensional surfaces. Explicit examples are given for asymptotically AdS4 black holes, domain wall geometries and time dependent backgrounds.