Hamiltonian For String in Newton-Cartan Background

Abstract

This paper is devoted to the construction of the Hamiltonian for non-relativistic string in the Newton-Cartan background. We start with the Hamiltonian for relativistic string in general background. Then we perform limiting procedure on the metric that leads to Newton-Cartan background. We determine constraint structure for non-relativistic string and show that these constraints are the first class constraints. Then we determine corresponding Lagrangian and discuss its properties.

16 pages, v2:published version

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• Non-Relativistic D-brane from T-duality Along Null Direction
• Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
• Unstable D-brane in Torsional Newton-Cartan Background
• T-duality of Non-Relativistic String in Torsional Newton-Cartan Background
• Lagrangians for non-relativistic gravity
• Note About Canonical Description of T-duality Along Light-Like Isometry