TITLE:
Penrose Transform on D-Modules, Moduli Spaces and Field Theory
AUTHORS:
Francisco Bulnes
KEYWORDS:
Penrose Transform; Coherent D-Modules; Derived Sheaf; Moduli Space; Conformal Classes; Heterotic Strings
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
12,
2012
ABSTRACT: We consider a generalization of the Radon-Schmid transform on coherent D-modules of sheaves of holomorphic complex bundles inside a moduli space, with the purpose of establishing the equivalences among geometric objects (vector bundles) and algebraic objects as they are the coherent D-modules, these last with the goal of obtaining conformal classes of connections of the holomorphic complex bundles. The class of these equivalences conforms a moduli space on coherent sheaves that define solutions in field theory. Also by this way, and using one generalization of the Penrose transform in the context of coherent D-modules we find conformal classes of the space-time that include the heterotic strings and branes geometry.