Orthosymplectic unification of the Galilei group and BRST |
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| Institution: | 1. Dipartimento di Fisica, Università di Lecce, I-73100 Lecce, Italy;1. INFN, Sezione di Bari, I-70126 Bari, Italy;2. Dipartimento di Fisica, Università di Firenze, Italy;2. INFN, Sezione di Firenze, I-50125 Florence, Italy;3. Departèment de Physique Théorique, Universitè de Genève, CH-1211 Geneva 4, Switzerland;4. Departament de Fisica Teorica, Universitat de Barcelona, E-08028 Barcelona, Spain;1. LPHE-MS, Science Faculty, Mohammed V University in Rabat, Morocco;2. Centre of Physics and Mathematics, CPM, Morocco |
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| Abstract: | The inclusion of BRST generators into the Poincarè group in D dimensions is known to lead IOspD,2|2]. Similarly, conformal symmetry gets extended into OspD×1,3|2]. For the non-relativistic case we find that the Galilei symmetry gets extended, by inclusion of the BRST generators, into an orthosymplectic symmetry possessing OspD,1|2] as a subgroup. All such extensions express the possibility of formulating the classical theories in reparametrization invariant ways. They include besides the generators of the initial kinematical symmetry (Poincarè, or conformal, or Galilei), the generators of Parisi-Sourlas transformations. The extended symmetries follow directly through BRST quantization. |
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