Framework of Penrose Transforms on DP-Modules to the Electromagnetic Carpet of the Space-Time from the Moduli Stacks Perspective

Francisco Bulnes

Department of Research in Mathematics and Engineering, TESCHA, Federal Highway Mexico Cuautla, Tlapala La Candelaria, Chalco, State of Mexico, Mexico.

DOI: 10.4236/jamp.2014.25019                

Abstract

Considering the different versions of the Penrose transform on D-modules and their applications to different levels of DM-modules in coherent sheaves, we obtain a geometrical re-construction of the electrodynamical carpet of the space-time, which is a direct consequence of the equivalence between the moduli spaces, that have been demonstrated in a before work. In this case, the equivalence is given by the Penrose transform on the quasi coherent Dλ-modules given by the generalized Verma modules diagram established in the Recillas conjecture to the group SO(1, n + 1), and consigned in the Dp-modules on which have been obtained solutions in field theory of electromagnetic type.

Keywords

Penrose Transform, Moduli Stack, Dp-Modules, Verma Modules, Field Theory, Electro-Dynamical Stacks

Conflicts of Interest

The authors declare no conflicts of interest.

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