Some geometrical aspects of entanglement in Holography & CFT (from the lattice)
by
Erik Tonni
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Europe/Rome
248 (Building C, first floor)
248
Building C, first floor
Description
In the first 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. The second part is focused on the entanglement negativity in 2+1 dimensions. We present some numerical results for two adjacent regions in a two dimensional harmonic lattice in the massless regime, discussing the area law behaviour and the corner contributions.