Transgression Gauge Field Theory and Some Applications

por Eduardo Rodríguez (Universidad de Concepción, Chile y de Munich, Alemania)

lunes 12 dic. 2005 12:30 → 13:30 Europe/Madrid

Sala Seminarios (Dpto. de Física Teórica (UVEG))

A transgression form is proposed as lagrangian for a gauge field theory. The construction is first carried out for an arbitrary Lie Algebra g and then specialized to some particular cases. We exhibit the action, discuss its symmetries, write down the equations of motion and the boundary conditions that follow from it, and finally compute conserved charges. Explicit examples are given, where use of the Extended Cartan Homotopy Formula is shown to dramatically simplify calculations. In the end we ask about the relevance of the transgression lagrangian in the context of the expansion of Lie Algebras.