ar X iv : h ep - t h / 06 05 06 9 v 2 2 7 M ay 2 00 7 Extended 2 d generalized dilaton gravity theories

نویسنده

  • R. O. de Mello
چکیده

We show that an anomaly-free description of matter in (1+1) dimensions requires a correction of the 2d relativity principle, which is connected to a noncommutativity of 2d Minkowski space that introduces a 2d Planck length. Then, in order to dynamically describe this noncommutative structure of the tangent space, we propose to extend the usual 2d generalized dilaton gravity models by a non-standard Maxwell component, which acts as a non-perturbative quantum correction affecting the topology of space–time. In addition, we prove that the extended dilaton theories can be formulated as Poisson–Sigma models based on a nonlinear deformation of the extended Poincaré algebra.

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تاریخ انتشار 2007