Group “Fundamental Interactions”
Our activities concern the mathematical description of physical laws, in particular those governing the fundamental interactions. The necessary tools are geometric, algebraic, combinatorial, or analytical in nature. Some problems lead to the emergence of new mathematical structures and require specific study. Others have immediate physical applications.
The laws of nature, at the classical level, are naturally expressed in geometric terms (the notion of a connection on a fiber bundle, for example, appears both in the formulation of the laws of gravitation and in those of the strong or electroweak interactions), and the symmetries of physics are described by constructions arising from group theory, in particular representation theory. Finally, it is well known that mechanics itself uses geometry—especially symplectic geometry—for its own formulation. At the quantum level, all these mathematical concepts must be generalized. Thus, approaches to quantum gravity using noncommutative geometry replace space-time (in fact the algebra of functions defined on it) with a noncommutative algebra, and many developments in quantum field theory use generalizations of the concept of a group: supersymmetric theories use Lie superalgebras, and conformal field theory, as well as string theory and integrable systems, relies on concepts from affine algebras and quantum groups. Our activities are focused on these themes.
| IOCHUM | Bruno | Research teacher emeritus | +33.4.91.26.97.95 | Contact |
| KRAJEWSKI | Thomas | Research teacher | +33.4.91.26.95.53 | Contact |
| LAZZARINI | Serge | Research teacher Team leader « Geometry, Physics, and Symmetries » | +33.4.91.26.97.94 | Contact |
| MASSON | Thierry | Researcher | +33.4.91.26.97.96 | Contact |
| OGIEVETSKY | Oleg | Research teacher emeritus | +33.4.91.26.95.33 | Contact |
| PORTELA | Leandre | Ph.D. | Contact | |
| TRIAY | Roland | Research teacher emeritus | +33.4.91.26.95.19 | Contact |
| USALA | Louis | Ph.D. | Contact |
Gravity as a deformed topological gauge theory
Physical Review D, 2025, (10.1103/83y2-g7jt)
Cartan geometry, characteristic classes, Lie algebroids: Applications to gravity and the BRST formalism
Mathematical Physics [math-ph]. Aix-Marseille Université, 2025. English. (NNT : 2025AIXM0001)
Physics on the Infinite Canvas, A new tool for popularization and pedagogy
2025 European Physical Society Conference on High Energy Physics (EPS-HEP2025), Jul 2025, Marseille, France. pp.611, (10.22323/1.485.0611)
Physics on the Infinity Canvas, A new tool for popularization and pedagogy
2025 European Physical Society Conference on High Energy Physics, Centre de Physique des Particules de Marseille; Centre de Calcul de l’IN2P3; Centre de Physique Théorique; Laboratoire des 2 Infinis de Toulouse; Laboratoire d’Astrophysique de Marseille; Laboratoire Univers et Particules de Montpellier, Jul 2025, Marseille, France
Maps, immersions and permutations
2024
Gauge Fixing in QFT and the Dressing Field Method
International Journal of Geometric Methods in Modern Physics, 2024, 22 (07), (10.1142/S021988782550029X)
Conformal and projective tractors from 2-frame bundles by the dressing field method
International Journal of Geometric Methods in Modern Physics, 2024, (10.1142/S0219887824502244)
The Schonmann projection: How Gibbsian is it?
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2024, 60 (1), (10.1214/22-AIHP1266)
The miracle of integer eigenvalues Dedicated to Professor A.M.Vershik, on the occasion of his 90-th birthday
2024
Hall effects in Carroll dynamics
Physics Reports, 2023, 1028, pp.1-60. (10.1016/j.physrep.2023.07.007)
