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 (2)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• N=2 and N=4 Supersymmetric mKdV and sinh-Gordon Hierarchies

Cited by in corpus (1)

• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory