# N=2 supersymmetric extensions of relativistic Toda lattice

## TL;DR

This paper constructs N=2 supersymmetric extensions of the relativistic Toda lattice, exploring their Hamiltonian structure and geodesic description with a non-metric connection, advancing understanding of supersymmetric integrable systems.

## Contribution

It introduces new N=2 supersymmetric models for the relativistic Toda lattice within the Hamiltonian formalism, including both periodic and non-periodic cases.

## Key findings

- Supersymmetric extensions are explicitly constructed.
- A geodesic description with a non-metric connection is provided.
- The models enhance the understanding of supersymmetric integrable systems.

## Abstract

N=2 supersymmetric extensions of both the periodic and non-periodic relativistic Toda lattice are built within the framework of the Hamiltonian formalism. A geodesic description in terms of a non-metric connection is discussed.