Locally Anisotropic Interactions: I. Nonlinear Connections in Higher Order Anisotropic Superspaces

TL;DR

This paper introduces higher order anisotropic superspaces with complex geometric structures, focusing on nonlinear connections, distinguished connections, and metrics, expanding the mathematical framework for superspace analysis.

Contribution

It develops a comprehensive geometric model of higher order anisotropic superspaces incorporating nonlinear and distinguished connections, advancing the mathematical tools for superspace theories.

Findings

Construction of higher order anisotropic superspaces

Integration of nonlinear and distinguished connections

Framework for metric structures in superspaces

Abstract

Higher order anisotropic superspaces are constructed as generalized vector superbundles provided with compatible nonlinear connection, distinguished connection and metric structures.