Hamiltonian Reduction and Supersymmetric Toda Models

TL;DR

This paper introduces new formulations of N=1 and N=2 super Toda field theories via Hamiltonian reduction of super WZNW models, providing Hamiltonian formulations on solution spaces.

Contribution

It presents novel Hamiltonian reduction methods for super Toda models derived from super WZNW models, enhancing understanding of their solution structures.

Findings

New Hamiltonian formulations of super Toda theories

Parameterizations linking super WZNW and super Toda models

Explicit solution space Hamiltonian structures

Abstract

New formulations of the solutions of N=1 and N=2 super Toda field theory are introduced, using Hamiltonian Reduction of the N=1 and N=2 super WZNW Models to the super Toda Models. These parameterisations are then used to present the Hamiltonian formulations of the super Toda theories on the spaces of solutions.