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Speaker |
Velhinho, José |
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Talk Title |
Groups of flux-like transformations in Loop Quantum Gravity |
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Abstract |
The flux variables in LQG correspond to infinitesimal transformations in the quantum configuration space, and the one-parameter groups of transformations generated by each flux variable are well understood. However, the set of all such transformations does not form a group. We present a group of transformations that contains the set of transformations generated by the flux variables. 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. All these transformations leave the Ashtekar-Lewandowski measure invariant. |
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