136 citations · 362 across the 12 of their papers we have counts for
11 papers · 1 filter
Integrable theories in any dimension: a perspective
Orlando Alvarez, L. A. Ferreira, J. Sanchez Guillen
We review the developments of a recently proposed approach to study integrable theories in any dimension. The basic idea consists in generalizing the zero curvature representation…
Integrable Chiral Theories in 2+1 Dimensions
D. Gianzo, J. O. Madsen, J. Sanchez Guillen
Following a recent proposal for integrable theories in higher dimensions based on zero curvature, new Lorentz invariant submodels of the principal chiral model in 2+1 dimensions ar…
A New Approach to Integrable Theories in any Dimension
Orlando Alvarez, Luiz A. Ferreira, J. Sanchez Guillen
The zero curvature representation for two dimensional integrable models is generalized to spacetimes of dimension d+1 by the introduction of a d-form connection. The new generalize…
Tau-functions and Dressing Transformations for Zero-Curvature Affine Integrable Equations
L. A. Ferreira, J. L. Miramontes, J. Sanchez Guillen
The solutions of a large class of hierarchies of zero-curvature equations that includes Toda and KdV type hierarchies are investigated. All these hierarchies are constructed from a…
Affine Toda Systems Coupled to Matter Fields
L. A. Ferreira, J-L. Gervais, J. Sanchez Guillen +1
We investigate higher grading integrable generalizations of the affine Toda systems. The extra fields, associated to non zero grade generators, obey field equations of the Dirac ty…
Solitons, Tau-functions and Hamiltonian Reduction for Non-Abelian Conformal Affine Toda Theories
L. A. Ferreira, J. L. Miramontes, J. Sanchez Guillen
We consider the Hamiltonian reduction of the two-loop Wess-Zumino-Novikov-Witten model (WZNW) based on an untwisted affine Kac-Moody algebra $\cgh$. The resulting reduced models, c…