# Non-Relativistic M2-Brane

## TL;DR

This paper introduces a non-relativistic M2-brane action in eleven dimensions, explores its Hamiltonian formulation, and examines its dimensional reduction and T-duality properties, connecting it to non-relativistic D2-branes and strings.

## Contribution

It presents the first formulation of a non-relativistic M2-brane in M-brane Newton-Cartan background and analyzes its reduction and duality features.

## Key findings

- Derived Hamiltonian formulation of non-relativistic M2-brane
- Showed dimensional reduction to non-relativistic D2-brane and string
- Discussed T-duality properties of non-relativistic D2-brane

## Abstract

We propose an action for non-relativistic M2-brane in eleven dimensional M-brane Newton-Cartan background. We find its Hamiltonian formulation and we focus on its dimensional reduction to ten dimensions that leads to non-relativistic D2-brane or to non-relativistic string. We also discuss T-duality properties of non-relativistic D2-brane.