Abstract
A crystal-like universe made of membranes in extra dimensions in a
Randall-Sundrum scenario is studied. A background gravitational metric
satisfying the right boundary conditions is considered to study the
localization of the scalar, gauge and Kalb-Ramond fields. It is found
that the wave function for the fields are Bloch waves. The mass modes
equations are calculated allowing us to show the zero-gap mass behavior
and the mass dispersion relation for each field. Finally we generalize
all these results and consider q-forms in the crystal membrane universe.
We add the dilaton interaction in order to guarantee localization of
forms. We show that, due to the dimension D, the form q and the dilaton
coupling lambda, the mass spectrum can be the same for the different
bosonic fields studied. Such a result is a different way to see the
duality between forms. (C) 2013 Elsevier B.V. All rights reserved.
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