Centre de Physique Théorique

Home > Research teams > Geometry, Physics, and Symmetries

Geometry, Physics, and Symmetries

Group “Fundamental Interactions”

Our activities are centered on the mathematical description of physical laws, in particular laws that govern fundamental interactions. The necessary tools are often of geometric, algebraic, combinatorial, analytic or functional nature. Some results or problems lead to the emergence of new mathematical structures needing a dedicated study. Others have direct physical applications.

Fundamental laws of nature, at the classical level, are naturally expressed in terms of geometry (for instance the notion of connection on a bundle appears in our understanding of both gravity and strong or electroweak interactions), and symmetries of the physical world are usually described, classically, by group theoretical constructions, in particular representation theory. Geometry finds its roots in the study of symmetries but one knows that mechanics itself uses geometry, in particular symplectic geometry, for its own formulation. A quantum description of physics requires not only the above tools but also appropriate generalizations of these notions. Approaches leading to theories of quantum gravity using non-commutative geometry, for instance, need mathematical descriptions where space-time (actually its algebra of functions) is replaced by a non-commutative algebra; moreover many developments of quantum field theory use generalizations of the notion of group, for instance supersymmetric theories use Lie super-algebras, and conformal field theory or string theory, as well as the theory of integrable systems, use concepts coming from affine Lie algebras and quantum groups.
Our activities focus around the above themes.

Directory of Members

Bulgakova Daria PhD candidate
Email
Coquereaux Robert Researcher
+33.4.91.26.95.18 Email
Iochum Bruno Emeritus
+33.4.91.26.97.96 Email
Krajewski Thomas University faculty
+33.4.91.26.95.61 Email
Lazzarini Serge University faculty
Chef de l’équipe « Géométrie, Physique et Symétries »
Web editor
+33.4.91.26.97.94 Email
Luminet Jean-Pierre Guest
+33.4.91.26.95.19 Email
Marsot Loïc PhD candidate
Email
Masson Thierry Researcher
Communications manager
Correspondant valorisation
Correspondant LabEx Archimède
Correspondant FRUMAM
+33.4.91.26.97.96 Email
Ogievetsky Oleg University faculty
+33.4.91.26.95.33 Email
Schücker Thomas University faculty
Chef du Groupe « Interactions fondamentales »
+33.4.91.26.95.61 Email
Triay Roland University faculty
+33.4.91.26.95.19 Email

List of Publications

122 results
Book Section
Céline Desmoulins, Jérémy Attard
SYNTHÈSE : 2017 : TABLE RONDE 2 INTER+SECTION : PARADIGMES
L' épistémologique et interdisciplinarité, A paraître, ⟨http://www.amu-intersections.fr⟩
Preprint, Working paper
Jérémy Attard, Jordan François, Serge Lazzarini, Thierry Masson
Cartan Connections and Atiyah Lie Algebroids
2019
Preprint, Working paper
Robert Coquereaux, Colin Mcswiggen, Jean-Bernard Zuber
On Horn's Problem and its Volume Function
2019
Preprint, Working paper
Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov
Constructive Matrix Theory for Higher Order Interaction
2019
Book Section
Jeremy Attard
The Dressing Field Method of Gauge Symmetry Reduction: Presentation and Examples
Geometric Methods in Physics XXXVI: Workshop and Summer School, Białowieża, Poland, 2017, pp.199-205, 2019, Trends in Mathematics, 9783030011567. ⟨10.1007/978-3-030-01156-7_21⟩
Journal article
Nicolas Boulanger, Jordan Francois, Serge Lazzarini
A classification of global conformal invariants
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2019, 52 (11), ⟨10.1088/1751-8121/ab01af⟩
Preprint, Working paper
Oleg Ogievetsky, Senya Shlosman
Extremal Cylinder Configurations I: Configuration $C_{\mathfrak{m}}$
2019
Preprint, Working paper
Oleg Ogievetsky, Senya Shlosman
The Six Cylinders Problem: $\mathbb{D}_{3}$-symmetry Approach
2019
Journal article
Robert Coquereaux, Jean-Bernard Zuber
The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2019, 15, pp.029. ⟨10.3842/SIGMA.2019.029⟩
Journal article
Bruno Iochum, Thierry Masson
Heat coefficient $a_4$ for nonminimal Laplace type operators
Journal of Geometry and Physics, Elsevier, 2019, 141, pp.120-146
122 results

Calendar