Review on Spinor Field and Applications to Physics

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.