U(1) gauge vector field on a codimension-2 brane

Fu, Chun-E (0000 0001 0599 1243, School of Science, Xi’an Jiaotong University, 28 Xianning West Road, Xi’an, 710049, China) ; Zhong, Yuan (0000 0001 0599 1243, School of Science, Xi’an Jiaotong University, 28 Xianning West Road, Xi’an, 710049, China) ; Liu, Yu-Xiao (0000 0000 8571 0482, Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, 222 South Tianshui Road, Lanzhou, 730000, China)

04 January 2019

Abstract: In this paper, we obtain a gauge invariant effective action for a bulk massless U(1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of the action for the massive vector KK modes. Both the vector and scalar KK modes can be massive. The masses of the vector KK modes m ( n ) contain two parts, m 1 ( n ) and m 2 ( n ) , due to the existence of the two extra dimensions. The masses of the two types of scalar KK modes m ϕ ( n ) and m φ ( n ) are related to the vector ones, i.e., m ϕ ( n )  =  m 1 ( n ) and m φ ( n )  =  m 2 ( n ) . Moreover, we derive two Schrödinger-like equations for the vector KK modes, for which the effective potentials are just the functions of the warp factor.


Published in: JHEP 1901 (2019) 021
Published by: Springer/SISSA
DOI: 10.1007/JHEP01(2019)021
arXiv: 1810.02081
License: CC-BY-4.0



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