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Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

We study the effect of the simplest geometry which is imposed via the topology of the universe by gauging non-relativistic particle model on torus and 3-torus with the help of symplectic formalism of constrained systems. Also, we obtain generators of gauge transformations for gauged models. Extracting corresponding Poisson structure of …