Groups of generalized flux transformations in the space of generalized connections
Abstract
Description
We present a group of transformations in the space of generalized connections that contains the set of transformations generated by the flux variables of loop quantum gravity. This group is labelled by certain SU(2)-valued functions on the bundle of directions in the spatial manifold. A further generalization is obtained by considering functions that depend on germs of analytic curves, rather than just on directions.
8 pages, title changed, new Conclusions section; to appear in IJGMMP
8 pages, title changed, new Conclusions section; to appear in IJGMMP