Localization of q-form fields on a de Sitter brane in chameleon gravity

Abstract

Recently, it was found that the vector field can be naturally localized on the thick brane in chameleon gravity. In this work, we extend this study to encompass de Sitter brane scenario. We focus on the localization of q-form fields. The scalar and vector fields can be localized on the de Sitter brane, while the KR field cannot be localized. The condition for localization of the scalar and vector fields is obtained. Furthermore, we investigate the localization characteristics in two examples with given conformal factor b(ϕ). In the first case, the effective potentials and KK modes of the matter fields are obtained asymmetric even though the de Sitter brane has Z₂ symmetry. In the second case, volcano-like effective potentials are generated in the de Sitter brane model.

Graphical abstract

Keywords

brane / q-form field / chameleon gravity

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Declarations

The authors declare that they have no competing interests and there are no conflicts.

Acknowledgements

This work was supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2022JJ40033) and the National Natural Science Foundation of China (Grant Nos. 12305061 and 12247101).

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