Maxwell extensions of kinematical algebras via semigroup expansions and their Chern–Simons gravity realizations.
| dc.contributor.advisor | Oliva Zapata, Julio Eduardo | es |
| dc.contributor.advisor | Concha Aguilera, Patrick Keissy | es |
| dc.contributor.author | Gallegos Pastén, Eduardo | es |
| dc.date.accessioned | 2026-04-27T19:46:24Z | |
| dc.date.available | 2026-04-27T19:46:24Z | |
| dc.date.issued | 2026 | |
| dc.description | Tesis presentada para optar al grado de Magíster en Ciencias con mención en Física. | es |
| dc.description.abstract | 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. | en |
| dc.description.campus | Concepción | es |
| dc.description.departamento | Departamento de Física | es |
| dc.description.facultad | Facultad de Ciencias Físicas y Matemáticas | es |
| dc.description.sponsorship | ANID, Proyecto Fondecyt Iniciación N°11220328. | es |
| dc.identifier.uri | https://repositorio.udec.cl/handle/11594/13965 | |
| dc.language.iso | en | en |
| dc.publisher | Universidad de Concepción | es |
| dc.rights | CC BY-NC-ND 4.0 DEED Attribution-NonCommercial-NoDerivs 4.0 International | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Algebra | en |
| dc.subject | Gravity | en |
| dc.title | Maxwell extensions of kinematical algebras via semigroup expansions and their Chern–Simons gravity realizations. | en |
| dc.type | Thesis | en |