ar X iv : h ep - t h / 94 10 17 3 v 1 2 3 O ct 1 99 4 ON q - DEFORMED SPINNING RELATIVISTIC PARTICLE
نویسنده
چکیده
A q-deformed free spinning relativistic particle is discussed in the framework of the Lagrangian formalism. Three equivalent Lagrangians are obtained for this system which are endowed with q-deformed local (super)gauge symmetries and reparametrization invariance. It is demonstrated that these symmetries are on-shell equivalent only for q = ±1 under particular identification of the transformation parameters. The same condition (q = ±1) emerges due to the requirement that the q-commutator of two supersymmetric gauge transformations should generate a reparametrization plus a supersymmetric gauge transformation. For a specific gauge choice, the solutions for equations of motion respect GL √ q (1|1) and GL q (2) invariances for any arbitrary value of the evolution parameter characterizing the quantum super world-line.
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