U(1)-supersymmetric extension of the Liouville equation
type: Item
instance of: scholarly article
title: U(1)-supersymmetric extension of the Liouville equation
zbMATH Open document ID: 0541.35074
DOI: 10.1007/BF00402253
author: S. Krivonos
author: Evgeny Ivanov
published in: Letters in Mathematical Physics
publication date: 1983-01-01T00:00:00Z
review text: The paper presents a new integrable system with extended supersymmetry: \(N=2\) supersymmetric extension of the Liouville equation. It is formulated in a covariant fashion in terms of a complex \(N=2\) superfield subjected to the Grassmann analyticity conditions. The zero-curvature representation (on the superalgebra osp(2,2)) together with an associated linear problem are constructed for this system, its general solution is found and the reduction to the previously known \(N=1\) super-Liouville equation is discussed. All the consideration proceeds within a general method based on nonlinear realizations of infinite dimensional symmetries. The \(N=1\) and \(N=2\) super-Liouville equations are shown to support a nonlinear realization of \(N=1\) and \(N=2\) superextensions of the conformal group in two dimensions (associated with the contact superalgebras \({\mathbb{K}}(1,1)\) and \({\mathbb{K}}(1,2)\) from Kac's classification).
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 17A70
zbMATH DE Number: 3859641
zbMATH Keywords: integrable system
zbMATH Keywords: supersymmetry
zbMATH Keywords: Liouville equation
zbMATH Keywords: Grassmann analyticity conditions
zbMATH Keywords: nonlinear realizations
MaRDI profile type: Publication
cites work: A sketch of Lie superalgebra theory
cites work: Unified approach to strings and vortices with soliton solutions
description: scientific article; zbMATH DE number 3859641