Reduction of the six-dimensional q-form fields to the four-dimensional fields by coupling with gravity
Abstract
In this paper, we investigate the localization of various q-form fields on a codimension-two brane. In particular, the $0$-form scalar field, the $1$-form U(1) gauge vector field, and the $2$-form Kalb-Ramond field are considered with gravitational coupling, where a coupling function F(R) is introduced into the six-dimensional actions of these fields. The function F(R) depends on the scalar curvature of the bulk. Within this framework, we find that the massless modes of different q-form fields can be localized on the thick brane for positive values of the coupling parameters t1 and t2. For the massive modes, the different q-form fields exhibit similar localization properties determined by the coupling parameter t2. When 0<t2<v2/24, the massive modes of these fields cannot be localized on the brane, while they may exist as the resonant modes. In the case t2=v2/24, a finite number of massive modes can be localized on the thick brane, and the number of localized modes increases with the coupling parameter t1. Finally, when t2>v2/24, the effective potentials associated with the Kaluza-Klein modes of these q-form fields form infinitely deep potential wells, so that all massive modes can be localized on the brane. Moreover, the tachyonic massive modes can always be excluded for different q-form fields.
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BibTeX
@misc{lu2026reduction,
title = {{Reduction of the six-dimensional $q$-form fields to the four-dimensional fields by coupling with gravity}},
author = {Yong-Tao Lu and Heng Guo and Qun Wei and Bing Wei},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18277},
eprint = {2609.18277},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18277},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Reduction of the six-dimensional q-form fields to the four-dimensional fields by coupling with gravity
AU - Yong-Tao Lu
AU - Heng Guo
AU - Qun Wei
AU - Bing Wei
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18277
UR - https://arxiv.org/abs/2609.18277
AB - In this paper, we investigate the localization of various q-form fields on a codimension-two brane. In particular, the $0$-form scalar field, the $1$-form U(1) gauge vector field, and the $2$-form Kalb-Ramond field are considered with gravitational coupling, where a coupling function F(R) is introduced into the six-dimensional actions of these fields. The function F(R) depends on the scalar curvature of the bulk. Within this framework, we find that the massless modes of different q-form fields can be localized on the thick brane for positive values of the coupling parameters t_1 and t_2. For the massive modes, the different q-form fields exhibit similar localization properties determined by the coupling parameter t_2. When 0<t_2<v^2/24, the massive modes of these fields cannot be localized on the brane, while they may exist as the resonant modes. In the case t_2=v^2/24, a finite number of massive modes can be localized on the thick brane, and the number of localized modes increases with the coupling parameter t_1. Finally, when t_2>v^2/24, the effective potentials associated with the Kaluza-Klein modes of these q-form fields form infinitely deep potential wells, so that all massive modes can be localized on the brane. Moreover, the tachyonic massive modes can always be excluded for different q-form fields.
ER -