Centre de Physique Théorique

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

112 results
Journal article
Razvan Gurau, Thomas Krajewski
Analyticity results for the cumulants in a random matrix model
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, European Mathematical Society, 2015, 2 (2), pp.169-228. 〈10.4171/AIHPD/17〉
Journal article
Robert Coquereaux
The history of the universe is an elliptic curve
Classical and Quantum Gravity, IOP Publishing, 2015, 32 (11), pp.115013
Journal article
Christian Duval, P. A. Horvathy
Chiral fermions as classical massless spinning particles
Physical Review D, American Physical Society, 2015, 91 (4), pp.045013. 〈10.1103/PhysRevD.91.045013〉
Journal article
François Jordan, Serge Lazzarini, Thierry Masson
Residual Weyl symmetry out of conformal geometry and its BRST structure
Journal of High Energy Physics, Springer Verlag (Germany), 2015, 09, pp.195. 〈10.1007/JHEP09(2015)195〉
Other publication
Jean-Pierre Luminet
The Warped Science of Interstellar
The science fiction film, Interstellar, tells the story of a team of astronauts searching a dista.. 2015, pp.International Review of Science, vol.1(2)
Journal article
O. Ogievetsky, L. Poulain d'Andecy
Induced representations and traces for chains of affine and cyclotomic Hecke algebras
Journal of Geometry and Physics, Elsevier, 2015, 87, pp.354-372. 〈10.1016/j.geomphys.2014.07.005〉
Journal article
Jean-Pierre Luminet
Cosmic Topology
Scholarpedia, San Diego, CA : Scholarpedia.org, 2015, 10 (8), pp.31544. 〈10.4249/scholarpedia.31544〉
Jordan Francois
Réduction des symétries de jauge: une nouvelle approche géométrique
Mathematical Physics [math-ph]. Aix-Marseille Université, 2014. English
Conference paper
Jean-Pierre Luminet
Lemaitre's Big Bang
Frontiers of Fundamental Physics (FFP14), Jul 2014, Marseille, France. pp.214, PoS FFP14
Conference paper
Thomas Schucker
The Hubble diagram in a Bianchi I univers
2014 Maui conference on Subfactor Theory in Mathematics and Physics, dedicated to Vaughan Jones' 60th birthday, Jul 2014, Maui, Hawaii, United States. 2016
112 results