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… Click to show full 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.
               
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