Novel thick brane solutions with symmetry breaking
arXiv:2004.05121 · doi:10.1140/epjc/s10052-021-08988-y
Abstract
In this work, using two scalar fields (, ) coupled to 4+1 dimensional gravity, we construct novel topological brane solutions through an explicit symmetry breaking term. The potential of this model is constructed so that two distinct degenerate vacua in the field exist, in analogy to the potential. Therefore, brane solutions appear due to the vacuum structure of the field. However, the topology and vacuum structure in the direction depends on the symmetry breaking parameter , which leads to different types of branes. As a result, one can interpret the present model as a combination of a brane with an auxiliary field, which leads to deviations from the 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.
arXiv comment14 pages, 9 figures. Comments welcome. V2: discussion and references added. Version to appear in Eur.Phys.J.C
References in corpus (35)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- 4D Gravity on a Brane in 5D Minkowski Space
- The Einstein Equations on the 3-Brane World
- Hybrid Inflation
- Modeling the fifth dimension with scalars and gravity
- Brane-world gravity
- Gravitational Stability and Renormalization-Group Flow
- Bloch Brane
- Thick brane solutions
- Solitons in systems of coupled scalar fields
- Fermion localization on thick branes
- First-order formalism for bent brane
- Deformed Defects
- Thick domain wall spacetimes with and without reflection symmetry
- Soliton Stability in Systems of Two Real Scalar Fields
- A model to localize gauge and tensor fields on thick branes
- Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
- Degenerate and critical Bloch branes
- Brane World Models With Bulk Scalar Fields
- 6D thick branes from interacting scalar fields
- Fermion localization on asymmetric two-field thick branes
- A Note on Asymmetric Thick Branes
- Classical and quantum dynamics of confined test particles in brane gravity
- A method for obtaining thick branes models
- Resonance Mass Spectra of Gravity and Fermion on Bloch Branes
- Brane modeling in warped extra-dimension
- Kalb-Ramond field localization on the Bloch brane
- Fermions on deformed thick branes
- Asymmetrical bloch branes and the hierarchy problem
- Soliton models for thick branes
- Soliton Decay in Coupled System of Scalar Fields
- Gravity localization on hybrid branes
- How to build a compact brane
- Gravity localization in sine-Gordon braneworlds