A complete canonical formulation is given for Pontryagin and Euler classes with the Barbero-Immirzi parameter, recovering the self-dual case at imaginary values and coupling the invariants to the Holst action.
A Relation Between Topological Quantum Field Theory and the Kodama State
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abstract
We study a relation between topological quantum field theory and the Kodama (Chern-Simons) state. It is shown that the Kodama (Chern-Simons) state describes a topological state with unbroken diffeomorphism invariance in Yang-Mills theory and Einstein's general relativity in four dimensions. We give a clear explanation of "why" such a topological state exists.
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gr-qc 1years
2025 1verdicts
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Canonical description of Pontryagin and Euler classes with a Barbero-Immirzi parameter
A complete canonical formulation is given for Pontryagin and Euler classes with the Barbero-Immirzi parameter, recovering the self-dual case at imaginary values and coupling the invariants to the Holst action.