TY - JOUR
T1 - Symmetries in Cartan's formalism
T2 - A review with examples
AU - Bonder, Yuri
AU - Corral, Cristóbal
AU - Ramírez, Oscar
N1 - Publisher Copyright:
© 2023 World Scientific Publishing Company.
PY - 2023/12/15
Y1 - 2023/12/15
N2 - 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.
AB - 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.
KW - Noether theorem
KW - Poincare gauge theories
UR - https://www.scopus.com/pages/publications/85168688254
U2 - 10.1142/S0219887823300088
DO - 10.1142/S0219887823300088
M3 - Review article
AN - SCOPUS:85168688254
SN - 0219-8878
VL - 20
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
IS - 14
M1 - 2330008
ER -