XXXII Workshop on Geometric Methods in Physics | 30.06-6.07.2013 |
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Daniel SternheimerAltneuland in mathematical particle physics: back to the drawing board??We describe work in progress and outline a ``scheme for conjectural frameworks" based on Flato's deformation philosophy, on joint works with or by Flato and coworkers (especially Fronsdal) since the 60's, and on discussions with many mathematicians and physicists in the past years. Namely we return to the old problem of connection between external (Poincaré group) and internal (unitary) symmetries of elementary particles but with a (Drinfeld) twist, suggesting that the internal symmetries might emerge from deforming to Anti de Sitter SO(2,3) and quantizing that (possibly in a new generalized manner) at root of unity. That raises challenging problems, both on the mathematical part and for particle physics. See the longer pdf abstract http://monge.u-bourgogne.fr/d.sternh/papers/DSaltneulandWGMP32LongAbstract.pdf and for an earlier text, http://wwwen.uni.lu/content/download/56018/661547/file/sternheimer.pdf |
Event sponsored by: | |||
University of Bialystok |