TITLE:
Framework of Penrose Transforms on DP-Modules to the Electromagnetic Carpet of the Space-Time from the Moduli Stacks Perspective
AUTHORS:
Francisco Bulnes
KEYWORDS:
Penrose Transform, Moduli Stack, Dp-Modules, Verma Modules, Field Theory, Electro-Dynamical Stacks
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.5,
April
25,
2014
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.