Note about Hamiltonian formalism for Newton–Cartan string and p-brane

Abstract

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 $$m_\mu $$ mμ .