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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
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
+33.4.91.26.97.96 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

110 results
Book Section
Jean-Pierre Luminet
Evry Leon Schatzman
Biographical Encyclopedia of Astronomers, 2014
Journal article
Robert Coquereaux, Jean-Bernard Zuber
Conjugation properties of tensor product multiplicities
Journal of Physics A General Physics, Institute of Physics (IOP), 2014, 47, pp.455202. 〈10.1088/1751-8113/47/45/455202〉
Journal article
Thomas Schucker, André Tilquin, Galliano Valent
Bianchi I meets the Hubble diagram
Monthly Notices of the Royal Astronomical Society, Oxford University Press (OUP): Policy P - Oxford Open Option A, 2014, 444 (3), pp.2820-2836. 〈10.1093/mnras/stu1656〉
Journal article
Christian Duval, G. W. Gibbons, P. A. Horvathy
Conformal Carroll groups
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2014, 47 (33), pp.335204. 〈10.1088/1751-8113/47/33/335204〉
Journal article
Thomas Krajewski, Vincent Rivasseau, Adrian Tanasa
Combinatorial Hopf algebraic description of the multiscale renormalization in quantum field theory
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, 2014, 70, pp.B70c
Direction of work or proceedings
Eric Kajfasz, Thierry Masson, Roland Triay
Proceedings, 14th International Symposium Frontiers of Fundamental Physics (FFP14): Marseille, France, July 15-18, 2014
Kajfasz, Eric; Masson, Thierry; Triay, Roland. Frontiers of Fundamental Physics 14, Jul 2014, Marseille, France. PoS, 2014, 〈http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=224〉
Journal article
Cédric Fournel, Jordan François, Serge Lazzarini, Thierry Masson
Gauge invariant composite fields out of connections, with examples
International Journal of Geometric Methods in Modern Physics, World Scientific Publishing, 2014, pp.1450016. 〈10.1142/S0219887814500169〉
Journal article
Christian Duval, G. W. Gibbons, P. A. Horvathy
Conformal Carroll groups and BMS symmetry
Classical and Quantum Gravity, IOP Publishing, 2014, 31 (092001), 8pp. 〈10.1088/0264-9381/31/9/092001〉
Journal article
Christian Duval, G. W. Gibbons, P. A. Horvathy, P. M. Zhang
Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
Classical and Quantum Gravity, IOP Publishing, 2014, 31 (085016), 24pp. 〈10.1088/0264-9381/31/8/085016〉
Journal article
Michal Eckstein, Bruno Iochum, Andrzej Sitarz
Heat trace and spectral action on the standard Podles sphere
Communications in Mathematical Physics, Springer Verlag, 2014, 332 (2), pp.627-668
110 results

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