New notions of entanglement and non-minimal geodesics from 2d CFT

by Dr Federico Galli (Perimeter Institute)

Thursday 11 May 2017, 14:30 → 16:00 Europe/Rome

Aula 281

The notion of “entwinement” originated in the context of holography and was proposed to characterize the entanglement between internal gauged degrees of freedom in a quantum field theory. I will discuss how entwinement can formally be defined through the replica method in terms of a non-local gauge-invariant object, and apply this method to the computation of entwinement in symmetric orbifold conformal field theories in 1+1 dimensions. Such a theory appears in the weak coupling limit of the D1-D5 string theory which is dual to AdS_3 at strong coupling. In this context, I will show how this novel quantity measures the lengths, in units of the AdS scale, of non-minimal geodesics present in excited states of the system, which are gravitationally described as conical defects and the zero mass BTZ black hole.