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Dirac approach to constrained submanifolds in a double loop group: From Wess-Zumino-Novikov-Witten to Poisson-Lie σ-model
(American Institute of Physics, 2014-09)
We study the restriction to a family of second class constrained submanifolds in the cotangent bundle of a double Lie group equipped with a 2-cocycle extended symplectic form to build the corresponding Dirac brackets. It ...
2D Poisson sigma models with gauged vectorial supersymmetry
(Springer Verlag, 2015-08)
Abstract: In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further ...
Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
(Springer, 2011-03-01)
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies ...
Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
(Springer, 2011-03-01)
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies ...
THE ALGEBRA OF NONLOCAL CHARGES IN NONLINEAR SIGMA-MODELS
(Springer, 1994-12-01)
We obtain the exact classical algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group O(N). As it turns out the algebra corresponds ...
THE ALGEBRA OF NONLOCAL CHARGES IN NONLINEAR SIGMA-MODELS
(Springer, 1994-12-01)
We obtain the exact classical algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group O(N). As it turns out the algebra corresponds ...
THE ALGEBRA OF NONLOCAL CHARGES IN NONLINEAR SIGMA-MODELS
(Springer, 2014)
Analytic and Geometric Techniques for Non-Integrable Dynamical Systems. Applications to Perturbed Keplerian Models.
(2020)
The present work using analytic and geometric methods to study differential
equations and systems of differential equations. Although some of the tools
developed here are intended to be applied to arbitrary equation, the ...