Note About Hamiltonian Formalism for Newton-Cartan String and p-Brane

TL;DR

This paper develops Hamiltonian formulations for non-relativistic string and p-brane actions in Newton-Cartan backgrounds, derived via a limiting procedure from relativistic models, focusing on cases with vanishing gauge fields.

Contribution

It introduces a Hamiltonian formalism for non-relativistic strings and p-branes in Newton-Cartan geometry, extending the theoretical framework from relativistic models.

Findings

Hamiltonian formulations for non-relativistic strings and p-branes are obtained.

The models are derived through a limiting procedure from relativistic actions.

Results are specific to cases with vanishing gauge fields.

Abstract

We construct non-relativistic string and p-brane actions in Newton-Cartan background using the limiting procedure from the relativistic string and p-brane action in general background. We also find their Hamiltonian formulations when however we restrict ourselves to the case of the vanishing gauge field.