Lorentz violation, two-time physics and strings

Abstract

We study a recently proposed generalization of the relativistic particle by Kosteleck´y, that includes explicit Lorentz violation. We present an alternative action for this system and we show that this action can be interpreted as a particle in curved space with a metric that depends on the Lagrange multipliers. Furthermore, the following results are established for this model: (i) there exists a limit where this system has more local symmetries that the usual relativistic particle; (ii) in this limit if we restore the Lorentz symmetry we obtain a direct relationship with the two time physics; (iii) also we show that if we intent to restore the Poincar´e symmetry we obtain the action of the relativistic bosonic string.