Mathematical Physics Seminar
Monday 26.X.2009
Time: 16:00-17:00
Room: 0009
Instytut Matematyki, ul. Łojasiewicza 6, 30-348 Kraków
Joaquín
Sánchez-Guillén (Universidade de Santiago de
Compostela,
Spain)
Nonabelian holonomies, loop spaces and integrability
Abstract:
Motivated by the generalization of zero curvature integrability methods,
we elaborate flatness conditions for non-abelian connections in loop
spaces, which are introduced as principal bundles. Requirements of
reparametrization invariance lead to "no go" theorems for local formulations
and the abelianization of their holonomy group. Nevertheless, some useful
consistent sufficient conditions are possible, as explained in detail.
Reference:
O. Alvarez, L. Ferreira and J. Sánchez-Guillén:
"Integrable theories
and loop spaces: fundamentals, applications and
new developments",
arXiv:
0901.1654v1[hep-th]
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