Solutions to the problem of ELKO spinor localization in brane models

Abstract

In this paper we present two different solutions to the problem of zero mode localization of ELKO spinor. In a recent paper the present authors reopened this problem since the solution presented before did not satisfy the boundary condition at the origin. The first solution is given by the introduction of a mass term and by coupling the spinor with the brane through a delta function. The second solution is reached by a Yukawa geometrical coupling with the Ricci scalar. This two models changes consistently the the boundary condition at infinity and at the origin. For the case of Geometrical coupling we are able to show that the zero mode is localized for any smooth version of the RS model.

arXiv comment7 pages

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• ELKO fermions as dark matter candidates
• Frame-invariant approach to higher-dimensional scalar-tensor gravity
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• A new class of mass dimension one fermions
• New fermions in the bulk
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• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
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