Speaker
Prof.
Erik Tonni
(SISSA)
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
CFT.
In 2+1 dimensions we present some numerical results for
two adjacent regions in a two dimensional harmonic lattice,
discussing the area law behaviour and the corner
contributions. In 1+1 dimensions and for two disjoint
intervals in the Ising and the Dirac fermion models, we show
that the contribution of a given spin structure to the
moments of the partial transpose is obtained as the scaling
limit of a specific lattice term. This analysis provides also the
moments of the partial transpose for the free fermion.