Deformations in spinor bundles: Lorentz violation and further physical implications

TL;DR

This paper explores how deforming spinor bundles in complex topologies can lead to Lorentz symmetry violations and impact physical theories, using mathematical models to analyze these effects.

Contribution

It introduces a novel deformation framework for spinor structures that incorporates Lorentz violation in nontrivial topologies, advancing the understanding of exotic spinor behaviors.

Findings

Deformation models reveal Lorentz violation effects in spinor fields.

Distinct physical regions characterized by varying Lorentz symmetry.

Mathematical approach to studying exotic spinor behaviors.

Abstract

This paper delves into the deformation of spinor structures within nontrivial topologies and their physical implications. The deformation is modeled by introducing real functions that modify the standard spinor dynamics, leading to distinct physical regions characterized by varying degrees of Lorentz symmetry violation. It allows us to investigate the effects in the dynamical equation and a geometrized nonlinear sigma model. The findings suggest significant implications for the spinor fields in regions with nontrivial topologies, providing a robust mathematical approach to studying exotic spinor behavior.