Lax pairs for string Newton Cartan geometry

Abstract

In this paper, based on a systematic formulation of Lax pairs, we show \textit{classical} integrability for nonrelativistic strings propagating over \textit{stringy} Newton-Cartan (NC) geometry. We further construct the corresponding \textit{monodromy} matrix which leads to an infinite tower of \textit{non-local} conserved charges over stringy NC background.

Revised Version, Accepted for Publication In Nuclear Physics B

References in corpus (5)

• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence
• Extended Galilean symmetries of non-relativistic strings
• The Galilean Superstring
• Homogeneous Nonrelativistic Geometries as Coset Spaces

Cited by in corpus (8)

• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
• Non-relativistic duality and $T\bar{T}$ deformations
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Semiclassical dynamics for torsional Newton-Cartan strings
• Coset space actions for nonrelativistic strings
• Nonrelativistic strings on $R\times S^2$ and integrable systems
• Newton-Cartan $D0$ branes from $D1$ branes and integrability