Cartan geometry, supergravity, and group manifold approach
J François, L Ravera - arXiv preprint arXiv:2402.11376, 2024 - arxiv.org
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity
and supergravity. We introduce our discussion by recapitulating historical threads, providing …
and supergravity. We introduce our discussion by recapitulating historical threads, providing …
[图书][B] Gauge symmetries, symmetry breaking, and gauge-invariant approaches
Gauge symmetries play a central role, both in the mathematical foundations as well as the
conceptual construction of modern (particle) physics theories. However, it is yet unclear …
conceptual construction of modern (particle) physics theories. However, it is yet unclear …
On the Meaning of Local Symmetries: Epistemic-Ontological Dialectic
J François, L Ravera - arXiv preprint arXiv:2404.17449, 2024 - arxiv.org
We propose our account of the meaning of local symmetries. We argue that the general
covariance principle and gauge principle both are principles of democratic epistemic access …
covariance principle and gauge principle both are principles of democratic epistemic access …
A massive gauge theory à la Utiyama
RR Cuzinatto, BM Pimentel, PJ Pompeia… - Physica …, 2023 - iopscience.iop.org
Utiyama's method is a deductive approach of building gauge theories for semi-simple
groups of local transformations, including the Abelian U (1) case, the non-Abelian SU (N) …
groups of local transformations, including the Abelian U (1) case, the non-Abelian SU (N) …