Review on Spinor Field and Applications to Physics

TL;DR

This review summarizes the development and applications of spinor fields over the last century, highlighting recent research on classifications, brane generation, black hole invariants, and quantum field spectral analysis in various contexts.

Contribution

It provides a comprehensive overview of recent advances in spinor field classifications and their applications in physics, including new results on brane generation and black hole invariants.

Findings

Classifications of spinor fields on bulk and seven-manifolds

Generation of branes by singular spinors in the bulk

Spectral decomposition of quantum fields in compactified dimensions

Abstract

A review about spinor fields is presented, constructing a outlook through the last century. Spinor was explored in many contexts more and more in the last decades. Besides this, more papers about this issue has been produced in the last decade than in the others before it. As examples, classifications of spinor fields on the bulk and on compactified seven-manifolds done by the author are revised and some results about spinor fields on this contexts are explored, like generating of brane by singular spinors in the bulk, invariants on five-dimensional black holes and spectral decomposition of a quantum field on compactified dimensions at low energies.