Novel thick brane solutions with U(1) symmetry breaking

Marzieh Peyravi; Nematollah Riazi; Francisco S. N. Lobo

doi:10.1140/epjc/s10052-021-08988-y

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 216
https://doi.org/10.1140/epjc/s10052-021-08988-y

Regular Article – Theoretical Physics

Novel thick brane solutions with U(1) symmetry breaking

Marzieh Peyravi¹, Nematollah Riazi² and Francisco S. N. Lobo³^c

¹ Department of Physics, School of Sciences, Ferdowsi University of Mashhad, 91775-1436, Mashhad, Iran
² Physics Department, Shahid Beheshti University, Evin, 19839, Tehran, Iran
³ Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal

^c fslobo@fc.ul.pt

Received: 27 July 2020
Accepted: 18 February 2021
Published online: 5 March 2021

Abstract

In this work, using two scalar fields ( $ϕ$ $\phi$ , $ψ$ $\psi$ ) coupled to 4 + 1 dimensional gravity, we construct novel topological brane solutions through an explicit U(1) symmetry breaking term. The potential of this model is constructed so that two distinct degenerate vacua in the $ϕ$ $\phi$ field exist, in analogy to the $ϕ^{4}$ $\phi ^{4}$ potential. Therefore, brane solutions appear due to the vacuum structure of the $ϕ$ $\phi$ field. However, the topology and vacuum structure in the $ψ$ $\psi$ direction depends on the symmetry breaking parameter $β^{2}$ $\beta ^{2}$ , which leads to different types of branes. As a result, one can interpret the present model as a combination of a $ϕ^{4}$ $\phi ^{4}$ brane with an auxiliary field, which leads to deviations from the $ϕ^{4}$ $\phi ^{4}$ system with the brane achieving a richer internal structure. Furthermore, we analyse in detail the behaviour of the superpotentials, the warp factors, the Ricci and Kretschmann scalars and the Einstein tensor components. In addition to this, we explore the stability of the brane in terms of the free parameters of the model. The analysis presented here complements previous work and is sufficiently novel to be interesting.

© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.