Inflating baby-Skyrme branes in six dimensions

Abstract

We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant. We construct solutions numerically and present evidences that the solutions cease to exist for large values of the brane cosmological constant in some particular case. Then we study the stability of the model by considering perturbation of the gravitational part (resp. baby skyrmion) with fixed matter fields (resp. gravitational background). Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation. The stability analysis can be alternatively seen as leading to a particle spectrum; we give mass estimations for the baby-Skyrme perturbation and for the graviton.

arXiv comment24 pages, 16 figures

References in corpus (27)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• Supersymmetry and Quantum Mechanics
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Knots and Particles
• Localizing Gravity on a String-Like Defect in Six Dimensions
• Solving the Hierarchy Problem with Noncompact Extra Dimensions
• Multisolitons in a Two-dimensional Skyrme Model
• Nonsingular global string compactifications
• Warped compactification on Abelian vortex in six dimensions
• Localization of metric fluctuations on scalar branes
• A Formalism to Analyze the Spectrum of Brane World Scenarios
• Localizing gravity on a 't Hooft-Polyakov monopole in seven dimensions
• Localization of massive fermions on the baby-skyrmion branes in 6 dimensions
• Gauge field localization on Abelian vortices in six dimensions
• Baby Skyrme models for a class of potentials
• Gravity of superheavy higher-dimensional global defects
• Zero modes of six-dimensional Abelian vortices
• Mesons, Baryons and Waves in the Baby Skyrmion Model
• Gravitating multidefects from higher dimensions
• Stability of six-dimensional hyperstring braneworlds
• Vector field localization and negative tension branes
• Inflating Brane inside hyper-spherically symmetric defects
• Inflating branes inside abelian strings
• Born-Infeld strings in brane worlds
• Localizing gravity on Maxwell gauged CP1 model in six dimensions

Cited by in corpus (14)

• Topological energy bounds in generalized Skyrme models
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case
• The gauged BPS baby Skyrme model
• Localizing modes of massive fermions and a U(1) gauge field in the inflating baby-skyrmion branes
• Baby Skyrme model and fermionic zero modes
• Antisymmetric Tensor Fields in Codimension Two Brane-World
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• Non-axisymmetric baby-skyrmion branes
• A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited
• Fermion scattering on topological solitons in the nonlinear $O(3)$ $\sigma$-model
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Cosmic Inflation From Fluctuating Baby-Skyrme Brane
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Self-dual solitons in a Born-Infeld baby Skyrme model