N=2 Superconformal Affine Liouville Theory

TL;DR

This paper introduces a new N=2 superconformal affine Liouville model that bridges existing theories and exhibits an extended superalgebra symmetry, advancing the understanding of supersymmetric integrable systems.

Contribution

It presents a novel N=2 superconformal affine Liouville theory with a Lax representation and extended superalgebra symmetry, connecting super Liouville and super sine-Gordon models.

Findings

Introduces a new supersymmetric integrable model.

Establishes the model's Lax representation on affine Kac-Moody superalgebra.

Shows extension of symmetry algebra to a super W-infinity type algebra.

Abstract

We present a new supersymmetric integrable model: the $N=2$ superconformal affine Liouville theory. It interpolates between the $N=2$ super Liouville and $N=2$ super sine-Gordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra ${\hat {sl(2| 2)^{(1)}}}$. We show that the higher spin $W_{1+\infty}$-type symmetry algebra of ordinary conformal affine Liouville theory extends to a $N=2\; W_{1/2 + \infty}$-type superalgebra.