Abstract
In this paper, we investigate the localization of a five-dimensional (5D) Elko spinor field in de Sitter tachyonic braneworld models. These branes are generated by gravity coupled to a tachyonic bulk scalar field and include a de Sitter cosmological background induced on the 3D-brane. Using Yukawa-type coupling mechanism we show that a free massless Elko spinor field cannot be localized on tachyonic de Sitter branes while massive Elko fields are localized if their bulk mass obeys an upper bound. Also by introducing a tachyonic function F(T) as Yukawa interaction term between the Elko spinor and the background tachyonic scalar field we find that localized massless zero modes are given in terms of general Heun functions. Furthermore, it is shown that employing a new derivative coupling term in the action of Elko spinor fields leads to the Elko field localization on tachyonic de Sitter branes.
Highlights
By a tachyon scalar field were introduced with applications to cosmology and supergravity [13,14]
In Ref. [15] it was shown that these tachyonic branes have several remarkable properties such as a regular and stable solution that contains a relevant 3D-brane with de Sitter induced metric in a higher dimensional manifold that are interesting from the point of view of cosmology
Fermions can be localized on branes in five dimensions by introducing a Yukawa coupling term between fermions and background scalar field which is an odd function of extra dimension [26,27]
Summary
In the context of the braneworld physics, gravity and various bulk matter fields must be confined on a brane by a natural mechanism in order to recover our 4D Universe and Standard Model of particle physics. [28], the authors have investigated a new fermion localization mechanism which employed a derivative fermion-scalar coupling term for which the background scalar field can be an odd or even function of the extra dimension. Localization of five-dimensional Elko spinor fields can be achieved in Minkowski thick branes by Yukawatype coupling mechanism [38,39,40] and non-minimal coupling mechanism [41] Localization of Standard Model matter fields and gravity except Elko field in de Sitter tachyonic braneworld models have been considered in Refs. By using the Yukawa coupling term between the background scalar field and Elko spinor, we will show that the zero mode of Elko fields can be localized on de Sitter tachyonic branes.
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