Groups of generalized flux transformations in the space of generalized connections

J. M. Velhinho

Groups of generalized flux transformations in the space of generalized connections

General Relativity and Quantum Cosmology 2009-01-05 v2

Authors: J. M. Velhinho

Abstract

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.

Keywords

generalized connections flux transformations loop quantum gravity su(2)-valued functions analytic curves generalized flux

Cite

@article{arxiv.0804.3765,
  title  = {Groups of generalized flux transformations in the space of generalized connections},
  author = {J. M. Velhinho},
  journal= {arXiv preprint arXiv:0804.3765},
  year   = {2009}
}

Comments

8 pages, title changed, new Conclusions section; to appear in IJGMMP

Groups of generalized flux transformations in the space of generalized connections

Abstract

Keywords

Cite

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