Chennai Mathematical Institute


11:00 am, Lecture Hall 3
Aspects of entanglement and hydrodynamics in hyperscaling violating Lifshitz(hvLif) theories

Debangshu Mukherjee
Chennai Mathematical Institute.


The AdS/CFT correspondence conjectures a map between a strongly coupled gauge theory and a theory of gravity defined on an asymptotically AdS spacetime. The above paradigm has been generalized further and applied to in the context of non-relativistic holography. In this talk, we will look at aspects of entanglement and hydrodynamics for one such class of non-relativistic field theory--hyperscaling violating Lifshitz theories.

The first part of the talk will focus on entanglement entropy for AdS plane waves. AdS plane waves backgrounds are dual to certain excited states in the CFT. Under null reduction, AdS plane waves give rise to hvLif spacetime with certain Lifshitz and hyperscaling violating exponent. We will discuss the mutual information and ``disentangling transition" of these special excited states for appropriately chosen strip subsystems and compare them with with the ground state and thermal states of the CFT.

I will subsequently introduce the technique developed by Policastro, Kovtun, Son and Starinets in order to compute hydrodynamics transport coefficients using holography. We will apply this machinery in the context of hvLif theories and discuss in particular about their shear diffusion constant and the shear viscosity. We will see that the viscosity-to-entropy density ratio saturates the conjectured viscosity bound of Kovtun, Son and Starinets for a certain class of the Lifshitz and hyperscaling violating factors.

All are invited to attend the viva-voce examination.