Hidden diffeos in the Hamiltonian formulation of a background independent field theory
In this paper, we analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain–Kuchař 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 three-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries.
Authors
- Eduardo J. S. Villaseñor (ORCID: https://orcid.org/0000-0003-2125-6171)
- J. Fernando Barbero G. (ORCID: https://orcid.org/0000-0001-7854-8146)
- Juan Margalef-Bentabol (ORCID: https://orcid.org/0000-0003-0118-6284)
- Bogar Díaz (ORCID: https://orcid.org/0000-0002-0549-5706)
Institutions
- Instituto de Estructura de la Materia (ES)
- Universidad Carlos III de Madrid (ES)
- Université de Montréal (CA)
- Universidad Politécnica de Madrid (ES)
- Universidad Nacional Autónoma de México (MX)
Publication Details
- Journal
- Geometric Mechanics
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1142/s2972458925400131
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00