Deformed defects with applications to braneworlds

Abstract

In this work we investigate two distinct extensions of the deformation procedure introduced in former works on deformed defects. The first extension deals with the use of deformation functions which can assume complex values, and the second concerns the possibility of making the deformation dependent on the defect solution of the model used to implement the deformation. These two extensions bring the deformation procedure to a significantly higher standard and allow to build interesting results, as we explicitly illustrate with examples of current interest to high energy physics.

7 pages, 6 figures; version to appear in PRD

References in corpus (7)

• 4D gravity localized in non Z_2-symmetric thick branes
• Locally Localized Gravity and Geometric Transitions
• New results for deformed defects
• De-Sitter and double asymmetric brane worlds
• Asymmetric D-braneworld
• Tachyon condensation on brane sphalerons
• Tachyons on Dp-branes from Abelian Higgs sphalerons

Cited by in corpus (50)

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• Fermion localization on a split brane
• Results in Kalb-Ramond field localization and resonances on deformed branes
• Aspects of thick brane worlds: 4D gravity localization, smoothness, and mass gap
• Classical behavior of deformed sine-Gordon models
• Scalar fields and defect structures: perturbative procedure for generalized models
• Kinklike structures in models of the Dirac-Born-Infeld type
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case
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• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• New family of sine-Gordon models
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• Orbit-based deformation procedure for two-field models
• Deformations of Kink Tails
• New scalar field models and their defect solutions
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• New Results on Compact Structures
• Gravity localization in a string-cigar braneworld
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• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Construction of topological defect networks with complex scalar fields
• Kinks and branes in models with hyperbolic interactions
• Deformed self-dual magnetic monopoles
• Cyclically deformed defects and topological mass constraints
• Gauge Field Emergence from Kalb-Ramond Localization
• New Analytical Solutions for Bosonic Field Trapping in Thick Branes
• Construction of new scalar field models from the standard ${\varphi }^4$ theory
• Massive $p$-form trapping as a $p$-form on a brane
• Deforming tachyon kinks and tachyon potentials
• Perturbatively deformed defects in Pöschl-Teller-driven scenarios for quantum mechanics
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
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• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Chern-Simons-Higgs Model as a Theory of Protein Molecules
• A simple and direct method for generating travelling wave solutions for nonlinear equations
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• Getting inflationary models using the deformation method
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor
• Kinks scattering in deformed ${\phi }^6$ model