Confinement of Fermions via the Spin Connection

Abstract

Recently there has been an interest in studying the role that geometry may play in the problem of confining fermions to our four-dimensional spacetime. In general, the focus is on non-Riemannian geometries which possess fields like torsion and non-metricity. In this paper, the degrees of freedom present in the spin connection in a Riemannian manifold are used to confine fermions. It turns out that one can use this connection to trap these particles inside a brane.

5 pages; unnecessary data in Eq. (1) removed, with a small change in the text below it; a missing complex factor in (8) was added