Penrose Transform on Induced <i>D<sub>G/H</sub></i>-Modules and Their Moduli Stacks in the Field Theory

作     者：Francisco Bulnes 

作者机构：Department of Research in Mathematics and Engineering Tecnológico de Estudios Superiores de Chalco Chalco Mexico 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2013年第3卷第2期

页      面：246-253页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Penrose Transform Coherent G-Quasi-Equivariant D-Modules Hecke Sheaf Moduli Stacks Moduli Spaces 

摘      要：We consider generalizations of the Radon-Schmid transform on coherent DG/H-Modules, with the intention of obtaining the equivalence between geometric objects (vector bundles) and algebraic objects (D-Modules) characterizing conformal classes in the space-time that determine a space moduli [1] on coherent sheaves for the securing solutions in field theory [2]. In a major context, elements of derived categories like D-branes and heterotic strings are considered, and using the geometric Langlands program, a moduli space is obtained of equivalence between certain geometrical pictures (non-conformal world sheets [3]) and physical stacks (derived sheaves), that establishes equivalence between certain theories of super symmetries of field of a Penrose transform that generalizes the implications given by the Langlands program. With it we obtain extensions of a cohomology of integrals for a major class of field equations to corresponding Hecke category.