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- Title
Symmetries in Cartan's formalism: A review with examples.
- Authors
Bonder, Yuri; Corral, Cristóbal; Ramírez, Oscar
- Abstract
We review an algorithm, in the context of gauge and gravity theories described by differential forms, to read off the symmetries of a physical system out of its action, which was originally proposed in [C. Corral and Y. Bonder, Symmetry algebra in gauge theories of gravity, Class. Quantum Grav. 36 (2019) 045002]. In particular, we study the interplay between gauge symmetries and a gauge-covariant version of diffeomorphisms dubbed local translations. We focus on the role of boundary terms and conserved charges that were not discussed in the original proposal. We provide a review of the formalism and analyze several examples of classical theories, including gauge theories coupled to matter fields in flat space and gravitational theories in different dimensions.
- Subjects
GAUGE field theory; DIFFERENTIAL forms; GAUGE symmetries; SYMMETRY; NOETHER'S theorem
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 14, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887823300088