Dx-Schemes and Jets in Conformal Gravity Using Integral Transforms

Francisco Bulnes and Sergei Fominko

International Journal of Mathematical Research, 2016, vol. 5, issue 2, 154-165

Abstract: A scheme is a scheme equipped with a flat connection over a smooth scheme on a base field. The flat connection equipment is a characterization of this scheme to construct through isomorphisms between commutative algebras and formal moduli problems the conformal images of the space-time that are solutions in conformal field theory. If are considered the schemes and their particular tools, the jets, these determine conformal blocks of space-time pieces that are invariant under conformal transformations. These conformal block of space-time pieces determine a homogeneous degree factor that characterizes the solutions in a complex Riemannian model of the space-time of the field equations to certain tensors of the Weyl curvature. Finally, is demonstrated that the algebra belonging to the schemes to the mentioned formal moduli problem is the image under a generalized Penrose transform that in the conformal context of many pieces of the space-time, has a structure as objects in commutative rings of CAlgk each one.

Keywords: Cohomologies; Commutative rings; Conformal blocks; Conformal gravity; DX-schemes; Jets; Spectrum functor (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
https://archive.conscientiabeam.com/index.php/24/article/view/2193/3214 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pkp:ijomre:v:5:y:2016:i:2:p:154-165:id:2193

Access Statistics for this article

More articles in International Journal of Mathematical Research from Conscientia Beam
Bibliographic data for series maintained by Dim Michael ().