Generalized N=2 Supersymmetric Toda Field Theories

TL;DR

This paper introduces a new class of generalized N=2 supersymmetric Toda field theories, expanding the known models and providing explicit algebraic structures and free superfield representations.

Contribution

It presents a continuous-parameter family of N=2 supersymmetric Toda theories, including known models as special cases, and derives explicit brackets and generators of their associated ${ m W}$ algebras.

Findings

Derived closed-form brackets for ${ m W}$ algebras.

Provided free superfield realizations of ${ m W}$ algebra generators.

Unified description of N=2 Toda theories with a continuous parameter.

Abstract

In this paper we introduce a class of generalized supersymmetric Toda field theories. The theories are labeled by a continuous parameter and have $N=2$ supersymmetry. They include previously known $N=2$ Toda theories as special cases. Using the WZNW -->Toda reduction approach we obtain a closed expression for the bracket of the associated ${\cal W}$ algebras. We also derive an expression for the generators of the ${\cal W}$ algebra in a free superfield realization.