Discrete symmetries of monopole bundles
We point out that the very notion of space reflection is ill-defined when physical states are defined on a fibre bundle describing a charge - Dirac monopole system. In other words? there is no lift of the space reflection operator to the total space of such a non-trivial bundle. We construct a well defined transposition operator of two dyons on the non-trivial two dyon bundle; consequently, we can correctly define its action on local sections. It is shown that symmetric wavefunctions defined on this bundle cannot be transformed into antisymmetric ones by a gauge transformation, in contradiction to well known statement first pointed out in connection with the dyon spin problem.
symmetries, monopole, dyon, bundle, gauge.