Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models

Abstract

A systematic construction for an action describing a class of supersymmetric integrable models as well as for pure fermionic theories is discussed in terms of the gauged WZNW model associated to twisted affine Kac-Moody algebras. Explicit examples of the $N=1,2$ super sinh(sine)-Gordon models are discussed in detail. Pure fermionic theories arises for cosets $sl(p,1)/sl(p)\otimes u(1)$ when a maximal kernel condition is fulfilled. The integrability condition for such models is discussed and it is shown that the simplest example when $p=2$ leads to the constrained Bukhvostov-Lipatov, Thirring, scalar massive and pseudo-scalar massless Gross-Neveu models.

28 pages, latex, added reference

References in corpus (8)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Affine Toda Systems Coupled to Matter Fields
• Higher Grading Generalisations of the Toda Systems
• Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation
• Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
• Dyonic Integrable Models
• N=2 and N=4 Supersymmetric mKdV and sinh-Gordon Hierarchies
• Solitons with Isospin

Cited by in corpus (7)

• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
• Exploring The Lambda Model Of The Hybrid Superstring
• Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
• Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy
• Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons