6533b825fe1ef96bd1281f65
RESEARCH PRODUCT
Generalized Conformal Symmetry and Extended Objects from the Free Particle
Manuel CalixtoVictor AldayaVictor AldayaJulio Becerra Guerrerosubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsFree particleFOS: Physical sciencesAstronomy and AstrophysicsObservableEconomía AplicadaQuadratic functionAtomic and Molecular Physics and OpticsQuantization (physics)Theoretical physicsHigh Energy Physics - Theory (hep-th)Conformal symmetryAnomalíasPhase spaceWave functionCuantización de sistemasHarmonic oscillatordescription
The algebra of linear and quadratic functions 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 $WSp(6,\Re)$. 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-01-01 |