As it is well known, a Kaluza-Klein metric in a U(1)-bundle contains a unique electromagnetic potential. In view of an affine formalism for Kaluza-Klein theory, we show here that a linear connection in a U(1)-bundle, which is invariant under the group action and satisfies a suitable regularity condition, generates a unique u(1)-valued gauge potential. If the connection is a metric connection deriving from a Kaluza-Klein metric the two potentials coincide.
Towards an affine approach to Kaluza-Klein theory
FERRARIS, Marco;FRANCAVIGLIA, Mauro;
1989-01-01
Abstract
As it is well known, a Kaluza-Klein metric in a U(1)-bundle contains a unique electromagnetic potential. In view of an affine formalism for Kaluza-Klein theory, we show here that a linear connection in a U(1)-bundle, which is invariant under the group action and satisfies a suitable regularity condition, generates a unique u(1)-valued gauge potential. If the connection is a metric connection deriving from a Kaluza-Klein metric the two potentials coincide.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
