Eur. Phys. J. Special Topics 229, 2043–2078 (2020)
https://doi.org/10.1140/epjst/e2020-900274-4

Regular Article

Introduction to localization of Elko spinor fields on branes

¹ College of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, P.R. China
² Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, P.R. China

^a e-mail: liuyx@lzu.edu.cn

Received: 1 December 2019
Accepted: 28 July 2020
Published online: 21 September 2020

Abstract

In 2004, Dharam Vir Ahluwalia and Daniel Grumiller discovered a dark matter candidate called Elko: spin one-half fermions with mass dimension one. These fermions are described by a spinorial Klein-Gordon formalism and very different from electrons or neutrinos. In this review, we give a brief introduction to the localization of Elko spinor fields on branes. First, we briefly review some brane-world theories and the localization of bulk matter fields on branes. Then, after a brief introduction to Elko spinor fields, we focus on the localization of Elko fields on branes in three cases: the free Elko fields, the Elko fields with Yukawa-like coupling, and finally, the Elko fields with non-minimal coupling.