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

Attard Jérémy PhD candidate
Email
Bizi Nadir PhD candidate
Email
BULGAKOVA Daria PhD candidate
Email
Coquereaux Robert Researcher
+33.4.91.26.95.18 Email
Duval Christian Emeritus
+33.4.91.26.97.97 Email
Giovannetti Gabriel ATER
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
Correspondant FRUMAM
+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
+33.4.91.26.97.94 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

97 results
Journal article
Robert Coquereaux, Jean-Bernard Zuber
Maps, immersions and permutations
Journal of Knot Theory and Its Ramifications, World Scientific Publishing, 2016, 25 (8), pp.1650047. 〈10.1142/S0218216516500474〉
Journal article
Serge Lazzarini, Jérémy Attard
A Note on Weyl invariance in gravity and the Wess-Zumino functional
Nuclear Physics B, Elsevier, 2016, Mathematical Foundations of Quantum Field Theory. Special Issue, Memoriam Raymond Stora., 〈10.1016/j.nuclphysb.2016.07.016〉
Journal article
Christian Duval
On the Bargmann-Michel-Telegdi equations, and spin-orbit coupling: a tribute to Raymond Stora
Nuclear Physics B, Elsevier, 2016, Memoriam Raymond Stora, pp.In Press- Corrected Proof. 〈10.1016/j.nuclphysb.2016.04.031〉
Conference paper
Sylvain Carrozza, Adrian Tanasa, Thomas Krajewski
Using Grassmann calculus in combinatorics: Lindström-Gessel-Viennot lemma and Schur functions
GASCom 2016, Jun 2016, La Marana, France
Journal article
Robert Coquereaux, Jean-Bernard Zuber
On some properties of SU(3) fusion coefficients
Nuclear Physics B, Elsevier, 2016, Mathematical Foundations of Quantum Field Theory: A volume dedicated to the Memory of Raymond Stora., 912, pp.119-150. 〈https://dx.doi.org/10.1016/j.nuclphysb.2016.05.029〉. 〈10.1016/j.nuclphysb.2016.05.029〉
Journal article
Jérémy Attard, Jordan François, Serge Lazzarini
Weyl gravity and Cartan geometry
Physical Review D, American Physical Society, 2016, 〈10.1103/PhysRevD.93.085032〉
Preprint, Working paper
Christian Duval
A recollection of Souriau's derivation of the Weyl equation via geometric quantization
2016
Preprint, Working paper
Thomas Krajewski, Iain Moffatt, Adrian Tanasa
Combinatorial Hopf algebras and topological Tutte polynomials
2016
Journal article
Bruno Iochum, Thierry Masson
Crossed product extensions of spectral triples
Journal of Noncommutative Geometry, European Mathematical Society, 2016, 10 (1), pp.65-133. 〈10.4171/JNCG/229〉
Other publication
Jean-Pierre Luminet
The Holographic Universe
Critical essay in : Inference: The International Review of Science, vol. 2, issue 1. 2016
97 results

Calendar