Non-Relativistic Holography from AdS$_5$/CFT$_4$

TL;DR

This paper introduces a new non-relativistic holographic duality derived from AdS$_5$/CFT$_4$, connecting string theory in a Newton-Cartan background with a Galilean Yang-Mills theory, and verifies the correspondence through symmetry matching.

Contribution

It presents the first example of a non-relativistic holographic duality from AdS$_5$/CFT$_4$ via a stringy limit, expanding the scope of holographic models.

Findings

Matching of Killing vectors with dual field theory symmetries

Establishment of string Newton-Cartan AdS$_5$ background

Identification of Galilean Yang-Mills on the boundary

Abstract

We show that a novel holographic correspondence appears after taking a suitable stringy non-relativistic limit of the AdS$_5$/CFT$_4$ duality. This correspondence relates string theory in String Newton-Cartan AdS$_5\times$S$^5$ with Galilean Yang-Mills with five interacting adjoint scalars defined on the Penrose conformal boundary. As a first test, we match the Killing vectors on the string theory side with the symmetries of the dual field theory.