Tesis Magíster

Permanent URI for this collection

Now showing 1 - 1 of 1

Maxwell extensions of kinematical algebras via semigroup expansions and their Chern–Simons gravity realizations.
(Universidad de Concepción, 2026) Gallegos Pastén, Eduardo; Oliva Zapata, Julio Eduardo; Concha Aguilera, Patrick Keissy
In this thesis, we present a Maxwell extension of the kinematical Lie algebras by promoting the Bacry–Lévy-Leblond cube to a semigroup expansion framework. Within this approach, we show that both non- and ultra-relativistic Maxwell algebras admitting nondegenerate invariant bilinear forms can be systematically obtained from different parent algebras through a unified expansion scheme, leading to a Maxwellian kinematical cube. We further show that both the original Bacry–Lévy-Leblond cube and its Maxwellian extension belong to an infinite hierarchy of generalized kinematical algebras generated by higher-order semigroups. The expansion method naturally provides the corresponding invariant tensors, allowing for the systematic construction of three-dimensional Chern–Simons gravity theories.