Anomaly-free representations of the holonomy-flux algebra

Abstract

We work on the uniqueness, gr-qc/0504147, of representations of the holonomy-flux algebra in loop quantum gravity. We argue that for analytic diffeomorphisms, the flux operators can be only constants as functions on the configuration space in representations with no anomaly, which are zero in the standard representation.

4 pages

References in corpus (2)

• Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
• Fundamental Structure of Loop Quantum Gravity