25 citations · 154 across the 25 of their papers we have counts for
25 papers
A cohomological obstruction in higher dimensional Chern--Simons gauge theories
Marcella Palese, Ekkehart Winterroth
We study a set of cohomology classes which emerge in the cohomological formulations of the calculus of variations as obstructions to the existence of (global) solutions of the Eule…
Variational cohomology and topological solitons in Yang-Mills-Chern-Simons theories
Ekkehart Winterroth
In cohomological formulations of the calculus of variations obstructions to the existence of (global) solutions of the Euler-Lagrange equations can arise in principle. It seems, ho…
Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system
Marcella Palese, Ekkehart Winterroth
We prove that with a -dimensional Toda type system are associated algebraic skeletons which are (compatible assemblings) of particle-like Lie algebras of dyons and triadons…
Higgs fields induced by Yang--Mills type Lagrangians on gauge-natural prolongations of principal bundles
Marcella Palese, Ekkehart Winterroth
We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang--Mills type Lagrangian field theories through…
Topological obstructions in Lagrangian field theories, with an application to 3D Chern-Simons gauge theory
Marcella Palese, Ekkehart Winterroth
We relate the existence of Noether global conserved currents associated with locally variational field equations to existence of global solutions for a local variational problem ge…
Variational derivatives in locally Lagrangian field theories and Noether--Bessel-Hagen currents
Francesco Cattafi, Marcella Palese, Ekkehart Winterroth
The variational Lie derivative of classes of forms in the Krupka's variational sequence is defined as a variational Cartan formula at any degree, in particular for degrees lesser t…