Lecturer: Prof. Francesco Aprile
Affiliation: University of Crete
Abstract:
I will discuss the holographic entanglement
entropy in BPS multi-centered p-brane
solutions and bubbling geometries.
Focusing on the p-brane geometries, these
backgrounds provides examples of large-N
RG flows in which UV degrees of freedom
rearrange across spacetime and field
theory space. The codimension-2 Ryu-
Takayanagi surface gives a sharp
characterization of such RG flows. In
particular, through the formation of a
separatrix, it detects topology changes of
the internal space. This separatrix defines
at each energy scale the common
boundary between different pieces of
geometry, it is a dynamical object and
"mediates" interactions. I will show how this
entangling structure is understood in the
dual field theory, and how it can be used to
refine the notion of separability/connectivity
of an RG flow. Bubbling geometries can be
analyzed with the same geometric tools.
Finally, I will discuss the relation between
entanglement entropy and phase space,
and the analogy between brane throats
geometries and the branching-MERA
algorithm.
Additional details of the upcoming Joint Seminars
in Theoretical High Energy Physics can be found
on the following link