An Introduction to String Newton-Cartan Holography and Integrability

TL;DR

This paper introduces String Newton-Cartan holography, a non-relativistic gauge/gravity duality, and explores its integrability, classical solutions, and quantisation within the context of the AdS/CFT correspondence.

Contribution

It develops a framework for non-relativistic string and p-brane holography via Newton-Cartan geometry, extending AdS/CFT to non-relativistic limits and analyzing integrability.

Findings

Constructed non-relativistic holographic dualities from AdS/CFT.

Analyzed classical string solutions and their quantisation.

Demonstrated integrability of the non-relativistic string theory.

Abstract

String Newton-Cartan holography is a new example of gauge/gravity duality relating non-relativistic string theory and gauge theories. We review how to construct a family of string and $p$-brane Newton-Cartan holographic dualities by consistently taking the non-relativistic limit of the AdS/CFT correspondence. We also review classical string solutions, quantisation, string coset action and integrability of the non-relativistic string theory appearing in the String Newton-Cartan limit of the AdS$_5$/CFT$_4$ correspondence.