Lax pairs for string Newton Cartan geometry
Dibakar Roychowdhury
Abstract
In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry. We further construct the corresponding monodromy matrix which leads to an infinite tower of non-local conserved charges over stringy NC background.
Topics & Concepts
MonodromyString (physics)TowerMonodromy matrixGeometryPhysicsCartan matrixMathematicsConstruct (python library)Classical mechanicsMathematical physicsTheoretical physicsPure mathematicsComputer scienceQuantum mechanicsLie groupEngineeringProgramming languageLie conformal algebraCivil engineeringEigenvalues and eigenvectorsNon-associative algebraBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsCosmology and Gravitation Theories