Remark About Non-Relativistic String in Newton-Cartan Background and Null Reduction

TL;DR

This paper investigates the Hamiltonian structure of non-relativistic strings in Newton-Cartan backgrounds, exploring their constraints and connections to T-duality via null reduction, building on recent findings in the field.

Contribution

It provides a Hamiltonian formulation of non-relativistic strings in Newton-Cartan backgrounds and clarifies their relation to T-duality through null reduction.

Findings

Hamiltonian formulation of non-relativistic string in Newton-Cartan background

Analysis of the constraint structure of the string

Discussion of the relation to T-duality via null reduction

Abstract

We analyze non-relativistic string in Newton-Cartan background that was found recently in [arXiv:1705.03535 [hep-th]]. We find its Hamiltonian formulation and study structure of constraints. We also discuss a relation between string in Newton-Cartan Background and T-duality along null reduction.