Nonrelativistic String Theory Sigma Model and Its Canonical Formulation

Abstract

This paper is devoted to the canonical analysis of non-linear sigma model that describes motion of non-relativistic string on stringy Newton-Cartan background. We determine structure of constraints of this string and compare resulting Hamiltonian with previous proposal of non-relativistic string on Newton-Cartan background.

15 pages

References in corpus (10)

• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Extended Galilean symmetries of non-relativistic strings
• Remark About Non-Relativistic String in Newton-Cartan Background and Null Reduction
• The Galilean Superstring
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Non-relativistic Spinning Particle in a Newton-Cartan Background
• Non-Relativistic Non-BPS Dp-brane
• World Sheet Commuting βγCFT and Non-Relativistic String Theories
• Exotic Non-relativistic String

Cited by in corpus (22)

• Non-Relativistic Gravity and its Coupling to Matter
• String Theory and String Newton-Cartan Geometry
• Relating non-relativistic string theories
• Nonrelativistic String Theory in Background Fields
• Torsional string Newton-Cartan geometry for non-relativistic strings
• A worldsheet supersymmetric Newton-Cartan string
• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
• Oddity in nonrelativistic, strong gravity
• Nonrelativistic Approximations of Closed Bosonic String Theory
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• (m,n)-String and D1-Brane in Stringy Newton-Cartan Background
• Non-Relativistic M2-Brane
• Note About T-duality of Non-Relativistic String
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Coset space actions for nonrelativistic strings
• Null Dimensional Reduction of M2-Brane
• Non-relativistic string monodromies
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
• A perturbative approach to the non-relativistic string spectrum