Study of gauge gravity duality using flow equation

Gauge/gravity duality

We review the emergence of gravity from gauge theory in the context of AdS/CFT duality. We discuss the evidence for the duality, its lessons for gravitational physics, generalizations, and open questions.

Dualities and Emergent Gravity: Gauge/Gravity Duality

In this paper I develop a framework for relating dualities and emergence: two notions that are close to each other but also exclude one another. I adopt the conception of duality as ‘isomorphism’, from the physics literature, cashing it out in terms of three conditions. These three conditions prompt two conceptually different ways in which a duality can be modified to make room for emergence; a...

Introduction to Gauge/Gravity Duality

Entanglement in Gauge / Gravity Duality

In this thesis, we present studies that elucidate the relationship between entanglement in strongly coupled gauge theories and the geometry of their gravity duals. In the first, we find that in a certain class of time-dependent states which have a gravity dual in which a black hole forms, the entanglement entropy of large regions grows linearly in time, following the growth of certain time-like...

A model of a Fermi liquid using gauge-gravity duality

We use gauge-gravity duality to model the crossover from a conformal critical point to a confining Fermi liquid, driven by a change in fermion density. The short-distance conformal physics is represented by an anti-de Sitter geometry, which terminates into a confining state along the emergent spatial direction. The Luttinger relation, relating the area enclosed by the Fermi surfaces to the ferm...