Coset space actions for nonrelativistic strings

Abstract

Abstract We formulate the stringy nonrelativistic limits of the flat space and AdS5×S5 string as coset models, based on the string Bargmann and extended string Newton-Hooke algebras respectively. Our construction mimics the typical relativistic one, but differs in several interesting ways. Using our coset formulation we give a Lax representation of the equations of motion of both models.