Nonrelativistic String Theory Sigma Model and Its Canonical Formulation

TL;DR

This paper analyzes the canonical structure of a non-relativistic string sigma model on Newton-Cartan backgrounds, clarifying its constraints and comparing Hamiltonian formulations to previous models.

Contribution

It provides a detailed canonical analysis of the non-relativistic string sigma model and compares its Hamiltonian structure with earlier proposals.

Findings

Identified the constraint structure of the non-relativistic string

Compared Hamiltonian with previous models

Clarified the canonical formulation of the theory

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.