Generalized Conformal Symmetry and Extended Objects from the Free Particle
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Knowledge AreaEconomía Aplicada
SponsorsM. Calixto thanks the Spanish MEC for a FPI grant. J. Guerrero thanks the Dipartimento di Fisica, Universit´a di Napoli, for its hospitality and the Spanish MEC for a postdoctoral grant.
PublisherWorld Scientific Publishing Company
Bibliographic CitationCALIXTO MOLINA, Manuel, ALDAYA VALVERDE, Victor, GUERRERO GARCÍA, Julio. Generalized Conformal Symmetry and Extended Objects from the Free Particle. International Journal of Modern Physics A, 13 (28): 4889-4911, 1998. ISSN 0217-751X
KeywordsCuantización de sistemas
The algebra of linear and quadratic function of basic observables on the phase space of either the free particle or the harmonic oscillator possesses a finite-dimensional anomaly. The quantization of these systems outside the critical values of the anomaly leads to a new degree of freedom which shares its internal character with spin, but nevertheless features an infinite number of different states. Both are associated with the transformation properties of wave functions under the Weyl-symplectic group WSp(6,ℜ). The physical meaning of this new degree of freedom can be established, with a major scope, only by analysing the quantization of an infinite-dimensional algebra of diffeomorphisms generalizing string symmetry and leading to more general extended objects.
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