Tuesday 11 May 2021

Penrose Transform on Induced DG=H-Modules and Their Moduli Stacks in the Field Theory II | Chapter 4 | Theory and Practice of Mathematics and Computer Science Vol. 9

 We investigate generalisations of the Radon-Schmid transform on coherent DG=H -Modules with the aim of achieving equivalence between geometric objects (vector bundles) and algebraic objects (D-Modules) that characterise conformal groups in space-time that determine a moduli space on coherent sheaves for the purpose of obtaining solutions in eld theory. In a signi cant context, elements of derived categories such as D-branes and heterotic strings are considered. Similarly, using the geometric Langlands programme, a moduli space is obtained for equivalence between certain geometrical pictures (non-conformal worldsheets) and physical stacks (derived sheaves). This establishes equivalences between several theories of eld supersymmetries of a Penrose transform, which broadens the implications of the Langlands programme. It is used to obtain extensions of a cohomology of integrals for a major class of eld equations to the corresponding Hecke group.

Author (s) Details

Francisco Bulnes
IINAMEI, Research Department in Mathematics and Engineering, TESCHA, Mexico.

View Book :- https://stm.bookpi.org/TPMCS-V9/article/view/851

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