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arXiv · 2507.12184

Hidden diffeos in the Hamiltonian formulation of a background independent field theory

J. Fernando Barbero G.·Bogar Díaz·Juan Margalef-Bentabol·Eduardo J. S. Villaseñor
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Abstract

We analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain-Kucha\v{r} model where, while preserving the connection as a dynamical variable, the other field is restricted to be the exterior covariant derivative of a Lie algebra-valued function. We prove that 3-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries.

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J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, Eduardo J. S. Villaseñor. 2025-07-16. Hidden diffeos in the Hamiltonian formulation of a background independent field theory. https://doi.org/10.1142/s2972458925400131

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