Author(s)

Francisco Bulnes

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

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.

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

Bulnes, F. (2014) Framework of Penrose Transforms on DP-Modules to the Electromagnetic Carpet of the Space-Time from the Moduli Stacks Perspective. Journal of Applied Mathematics and Physics, 2, 150-162. doi: 10.4236/jamp.2014.25019.