An Introduction to String Newton-Cartan Holography and Integrability

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.

arXiv comment128 pages, 3 figures. Invited review for J. Phys. A; v2: comments and references added. Version accepted for publication in J. Phys. A