Modeling the fifth dimension with scalars and gravity
arXiv:hep-th/9909134 · doi:10.1103/PhysRevD.62.046008
Abstract
A method for obtaining solutions to the classical equations for scalars plus gravity in five dimensions is applied to some recent suggestions for brane-world phenomenology. The method involves only first order differential equations. It is inspired by gauged supergravity but does not require supersymmetry. Our first application is a full non-linear treatment of a recently studied stabilization mechanism for inter-brane spacing. The spacing is uniquely determined after conventional fine-tuning to achieve zero four-dimensional cosmological constant. If the fine-tuning is imperfect, there are solutions in which the four-dimensional branes are de Sitter or anti-de Sitter spacetimes. Our second application is a construction of smooth domain wall solutions which in a well-defined limit approach any desired array of sharply localized positive-tension branes. As an offshoot of the analysis we suggest a construction of a supergravity c-function for non-supersymmetric four-dimensional renormalization group flows. The equations for fluctuations about an arbitrary scalar-gravity background are also studied. It is shown that all models in which the fifth dimension is effectively compactified contain a massless graviton. The graviton is the constant mode in the fifth dimension. The separated wave equation can be recast into the form of supersymmetric quantum mechanics. The graviton wave-function is then the supersymmetric ground state, and there are no tachyons.
31 pages, 3 figures, latex. v2: References and an acknowledgement added. v3: Corrected discussion of nonzero cosmological constant. v4: Additional minor corrections, version to appear in Phys. Rev. D
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- Spin-2 KK Mode Scattering in Models with a Massive Radion
- Radion Stabilization by Brane Matter
- Testing extra dimensions below the production threshold of Kaluza-Klein excitations
- Relaxing to a three dimensional brane junction
- Probing the holographic dilaton
- Gravity localization with a domain wall junction in six dimensions
- The nonsingular brane solutions via the Darboux transformation
- On the stability of thick brane worlds non-minimally coupled to gravity
- Brane World Dynamics and Conformal Bulk Fields
- Exact Coleman-de Luccia Instantons
- Exact cosmological solutions of models with an interacting dark sector
- Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld
- Coulomb's law corrections and fermion field localization in a tachyonic de Sitter thick braneworld
- On localization of universal scalar fields in a tachyonic de Sitter thick braneworld
- The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
- Spectrum Structure of Fermion on Bloch Branes with Two Scalar-fermion Couplings
- Multiresonance modes in sine-Gordon brane models
- Construction of topological defect networks with complex scalar fields
- Is Thick Brane Model Consistent with the Recent Observations?
- From Soft Walls to Infrared Branes
- Spherically Symmetric Thick Branes Cosmological Evolution
- Matter localization on brane-worlds generated by deformed defects
- Modulus stabilization in higher curvature dilaton gravity
- A light dilaton in a metastable vacuum
- Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on -thick brane
- BPS equations in N=2, D=5 supergravity with hypermultiplets
- Fluctuating brane in a dilatonic bulk
- Holography of Linear Dilaton Spacetimes from the Bottom Up
- Toward minimal composite Higgs models from regular geometries in bottom-up holography
- Braneworlds in gravity
- Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
- Analytic Coleman-De Luccia Geometries
- Kinks and branes in models with hyperbolic interactions
- de Sitter versus anti-de Sitter in Horndeski-like gravity
- Bulk scalar field in warped extra dimensional models
- Stability and Fluctuations on Walls in N=1 Supergravity
- Quasinormal modes and echoes of a double braneworld
- Mechanism to induce geometric constriction on kinks and domain walls
- Dilatonic states near holographic phase transitions
- Linearization of a warped theory in the higher-order frame
- Holographic RG Flows for Four-dimensional SCFTs
- A de Sitter tachyonic braneworld revisited
- A Small Cosmological Constant from Warped Compactification with Branes
- Close to the edge: hierarchy in a double braneworld
- Thick brane in reduced Horndeski theory
- Supersymmetry at Large Distance Scales
- Modulus stabilization of generalized Randall Sundrum model with bulk scalar field
- De Sitter and double irregular domain walls
- Radius Stabilization in a Supersymmetric Warped Compactification
- Holographic Technidilaton and LHC searches
- Tachyon with an inverse power-law potential in a braneworld cosmology
- Dynamical AdS/Yang-Mills Model
- Metastable Vacua in Brane Worlds
- Kink-induced symmetry breaking patterns in brane-world SU(3)^3 trinification models
- Mechanism to control the internal structure of thick brane
- Five Dimensional Cosmology in Horava-Witten M-Theory
- Asymptotic symmetries of AdS2 Branes
- Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
- Cosmological Solutions on Compactified AdS_5 with a Thermal Bulk
- Effective Monopoles within Thick Branes
- Inflating branes inside abelian strings
- On Newton's law in supersymmetric braneworld models
- Domain wall cosmology and multiple accelerations
- Stability in Einstein-Scalar Gravity with a Logarithmic Branch
- Internal structure of cuscuton Bloch brane
- Nontrival Cosmological Constant in Brane Worlds with Unorthodox Lagrangians
- Thick braneworlds generated by a non-minimally coupled scalar field and a Gauss-Bonnet term: conditions for localization of gravity
- Radion and moduli stabilization from induced brane actions in higher-dimensional brane worlds
- Symmetric and asymmetric thick brane structures
- Normal modes for two-dimensional gravitating kinks
- Smooth braneworld in -dimensional asymptotically AdS spacetime
- Five-dimensional vector multiplets in arbitrary signature
- Hybrid metric-Palatini brane system
- Five-Brane Thresholds and Membrane Instantons in Four-Dimensional Heterotic M-Theory
- Linear Stability of Thick Branes: Tensor Perturbations
- Detuned Branes and Supersymmetry Breaking
- Multi-kink brane in Gauss-Bonnet gravity and its stability
- Localization of form fields on branes
- Holographic Cosmic Quintessence on Dilatonic Brane World
- Gravity on a Little Warped Space
- Scalar perturbation of gravitating double-kink solutions
- Cosmological braneworld solutions with bulk scalar field in DGP setup
- Gravity in higher codimension de Sitter Brane Worlds
- Topological structures in a non-canonical perturbative dynamics of a cuscuton-like model
- Gravity localization in sine-Gordon braneworlds
- Torsion in Extra Dimensions and One-Loop Observables
- Confinement in de Sitter Space and the Swampland
- Janus and RG-flow interfaces in three-dimensional gauged supergravity
- Comment on Ambiguities in the Holographic Weyl Anomaly
- On the stability of a soft-wall model
- Evolution of scalar field resonances in a braneworld
- Holographic realization of gauge mediated supersymmetry breaking
- Brane Dynamics, the Polytropic Gas and Conformal Bulk Fields
- 4D gravity on a BPS brane in 5D AdS-Minkowski space
- The holographic RG flow in a field theory on a curved background
- Hybrid Bloch Brane
- Fundamental energy scale of the thick brane in mimetic gravity
- Thick string-like braneworlds in f(T) gravity
- Skyrme Branes
- Characteristic modes of thick brane model: resonances and quasinormal modes
- Global p-Brane World: A New Approach to Stable Mass Hierarchy
- Cosmological Solution from D-brane motion in NS5-Branes background
- Geometry of deformations of branes in warped backgrounds
- Exact Solutions in 5-D Brane Models With Scalar Fields
- Brane cosmology and the self-tuning of the cosmological constant
- Fermion Localization and Degenerate Resonances on Brane Array
- Stabilization of moduli in spacetime with nested warping and the UED
- Regarding the Radion in Randall-Sundrum Models with Brane Curvature
- Dynamical suppression of spacetime torsion
- Constraints on brane and bulk ideal fluid in Randall-Sundrum cosmologies
- Braneworld physics from the analog-gravity perspective: finiteness effects
- Dilaton tadpoles and mass in warped models
- Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
- Thick braneworld model in nonmetricity formulation of general relativity and its stability
- Kink-boundary collisions in a two dimensional scalar field theory
- Z2-Symmetric Thick Brane with Specific Warp Function
- Generalized Friedmann Equations for a Finite Thick Brane
- Locally Localized Gravity: The Inside Story
- Magnetized AdS/BCFT Correspondence in Horndeski Gravity
- Null Deformed Domain Wall
- The role of higher derivative bulk scalar in stabilizing a warped spacetime
- Localization and mass spectra of various matter fields on scalar-tensor brane
- Reconstruction of Domain Wall Universe and Localization of Gravity
- Localization of scalar fields on self-gravitating thick branes
- Multikink solutions and deformed defects
- Generalized Born-Infeld-like models for kinks and branes
- Singular Pöschl-Teller II potentials and gravitating kinks
- Phase transitions and light scalars in bottom-up holography
- Linearization of a warped theory in the higher-order frame II: the equation of motion approach
- Localization of scalar field on the brane-world by coupling with gravity
- Casimir Energy of 5D Warped System and Sphere Lattice Regularization
- From sine-Gordon to vacuumless systems in flat and curved spacetimes
- Linearized Gravity in the Karch-Randall Braneworld
- Axion RG flows and the holographic dynamics of instanton densities
- Stability of braneworlds with non-minimally coupled multi-scalar fields
- A systematic study of the radion in the compact Randall-Sundrum model
- Localization of the Standard Model via Higgs mechanism and a finite electroweak monopole from non-compact five dimensions
- Analytic continuations of de Sitter thick domain wall solutions
- The clash of symmetries in a Randall-Sundrum-like spacetime
- New braneworld models in the presence of auxiliary fields
- Search for heavy resonances decaying to a pair of Lorentz-boosted Higgs bosons in final states with leptons and a bottom quark pair at 13 TeV
- Geometrically contracted structure in teleparallel gravity
- On orbifold theory and N=2, D=5 gauged supergravity
- Gravity and Matters on a pure geometric thick polynomial brane
- Boundary Holographic Witten Diagrams
- Wave function of the radion in the brane background with a massless scalar field and a self-tuning problem
- Gravity effects on thick brane formation from scalar field dynamics
- Comparison of associated Higgs boson-radion and Higgs boson pair production processes
- On Brane Stabilization and the Cosmological Constant
- Second order perturbations in the radius stabilized Randall-Sundrum two branes model II -- Effect of relaxing strong coupling approximation --
- Maxwell-scalar system and scalar field with impurity: novel approach to find nontrivial solutions
- 4D gravity on a non-BPS bent dilatonic brane
- Geometrically constrained multifield models with BNRT solutions
- Radius stabilization and brane running in RS1 model
- Broken Symmetry as a Stabilizing Remnant
- Extremal Black Holes and Holographic C-Theorem
- Brane bounce-type configurations in a string-like scenario
- The self-tuning of the cosmological constant and the holographic relaxion
- "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
- Supersymmetry in 6d Dirac Action
- Scalar Kinks in Warped Extra Dimensions
- New results on asymmetric thick branes
- Radion dynamics in the Multibrane Randall-Sundrum Model
- Effective action of a self-interacting scalar field on brane
- New bulk scalar field solutions in brane worlds
- New models for asymmetric kinks and branes
- Large Star/Rose Extra Dimension with Small Leaves/Petals
- Vanishing of cosmological constant in nonfactorizable geometry
- Localizing gravity on thick branes: a solution for massive KK modes of the Schroedinger equation
- Expanding Cosmologies in Brane Geometries
- Matching the linear spectra of twinlike defects
- First order formalism for thick branes in modified gravity with Lagrange multiplier
- Late transient acceleration of the universe in string theory on
- Completeness of non-normalizable modes
- The Topology of the AdS/CFT/Randall-Sundrum Complementarity
- Domain walls in a non-linear -sigma model with homogeneous quartic polynomial potential
- Search for a new resonance decaying into two spin-0 bosons in a final state with two photons and two bottom quarks in proton-proton collisions at = 13 TeV
- Gravitational Forces in the Randall-Sundrum Model with a Scalar Stabilizing Field
- Gauges in the Bulk II: Models with Bulk Scalars
- A criterion for admissible singularities in brane world
- Perturbatively deformed defects in Pöschl-Teller-driven scenarios for quantum mechanics
- Spinor Walls in Five-Dimensional Warped Spacetime
- Brane-World charges
- Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
- Novel modified gravity braneworld configurations with a Lagrange multiplier
- Quasinormal ringing of thick braneworlds with a finite extra dimension
- Comments on fake supersymmetry
- Multi-kink braneworld configurations in the scalar-tensor representation of gravity
- Teleparallel gravity: Effects of torsion in 6D braneworlds
- The specificity of searches for , and coming from extra dimensions
- Cosmological scenarios from multiquintessence
- Some Aspects of the Tachyon Inflation with Superpotential in Confrontation with Planck2018 Data
- False Vacuum Transitions - Analytical Solutions and Decay Rate Values
- Living on a dS brane: Effects of KK modes on inflation
- Dark Energy from holographic theories with hyperscaling violation
- Gauge Invariant Treatment of the Energy Carried by a Gravitational Wave
- Observational Constraints on Braneworld Geometry
- One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models
- Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions
- Stability and hierarchy problems in string inspired braneworld scenarios
- Localising gravity in composite monopole brane worlds without bulk cosmological constant
- Classification of certain asymptotically AdS space-times with Ricci-flat boundary
- Evolution of Thick Walls in Curved Spacetimes
- On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
- Slinky evolution of domain wall brane cosmology
- Emergent Supersymmetry in Warped Backgrounds
- A primer on the ekpyrotic scenario
- Static solutions in the R^4 brane world
- Duality linking standard and tachyon scalar field cosmologies
- Fermion localization in a backreacted warped spacetime
- Configurational entropy and Newton's Law in double sine-Gordon braneworlds
- Gravitational Echoes from Braneworlds
- Spherically Symmetric Thick Branes in Vacuum
- New fermions in the bulk
- Super long-range kinks
- Kaluza-Klein modes of bulk fields in a generalized Randall-Sundrum scenario
- Generalized scalar field models with the same energy density and linear stability
- Excited DeSitter brane worlds localized by a kink
- Evolution of Fermion Resonance in Thick Brane
- A Positive Cosmological Constant in String Theory Through Ads/CFT Wormholes
- Brane cosmology in the Horava-Witten heterotic M-Theory on
- Scalar Domain Wall as the Universe
- Avoiding the dangers of a soft-wall singularity
- Localization and mass spectra of various matter fields on Weyl thin brane
- Lightest Kaluza-Klein graviton mode in a backreacted Randall-Sundrum scenario
- Construction of Special Solutions for Nonintegrable Systems
- Pure geometric branes
- Fine Tuning Problem of the Cosmological Constant in a Generalized Randall-Sundrum Model
- Braneworlds and Dark Energy
- On Broad Kaluza-Klein Gluons
- The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on
- A domain wall description of brane inflation and observational aspects
- Classical tests of General Relativity in thick branes
- New Perspectives on Moving Domain Walls in (A)dS_(5) Space
- Localization mechanism of form field on the brane-world by coupling with gravity
- Holography of Broken U(1) Symmetry
- Local Unit Invariance, Back-Reacting Tractors and the Cosmological Constant Problem
- Doubling of background solution in 5D stabilized brane world model
- Some problems with reproducing the Standard Model fields and interactions in five-dimensional warped brane world models
- Single-brane world with stabilized extra dimension
- Intermediate inflation or late time acceleration?
- Pure Geometric Branes and Mass Hierarchy
- Effective Lagrangian and stability analysis in warped space
- Moduli stabilization with bulk scalar in nested doubly warped braneworld model
- Gravitational Forces in the Brane World
- Generalized surface tension bounds in vacuum decay
- Born-Infeld strings in brane worlds
- Braneworlds in bumblebee gravity
- Braneworlds in Warped Einsteinian Cubic Gravity
- Gravitating kinks with asymptotically flat metrics
- Graviscalar quasinormal modes and asymptotic tails of a thick brane
- Limits on Kaluza-Klein Portal Dark Matter Models
- Light dilaton near critical points in top-down holography
- Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant
- Vacuum thick brane solution with a Gaussian warp function
- More on Boundary Holographic Witten Diagrams
- On black hole thermodynamics with a momentum relaxation
- Dynamical Domain Wall and Localization
- First-order framework for flat brane with auxiliary fields
- Trapping Dirac fermions in tubes generated by two scalar fields
- Self-gravitating non-abelian kinks as brane worlds
- Inflation is the generic feature of phantom field-not the big-rip
- Scalar-Tensor Gravity on a Gauss-Bonnet Brane World
- Implications of diphoton searches for a Radion in the Bulk-Higgs Scenario
- Stability of gravity-scalar systems for domain-wall models with a soft wall
- Cosmology and Static Spherically Symmetric solutions in D-dimensional Scalar Tensor Theories: Some Novel Features
- Comments on cosmological RG flows
- Localization of Vector Field on Pure Geometrical Thick Brane
- Thick branes via higher order field theory models with exponential and power-law tails
- Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
- New twinlike models for scalar fields
- Higgs boson production and decay in 5D warped models
- New Results For Cuscuton Multi-Field Brane
- Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes
- Scalar-tensor representation to brane with Gauss-Bonnet gravity
- Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
- On gravity localization in scalar braneworlds with a super-exponential warp factor
- Holographic RG flow triggered by a classically marginal operator
- Gravity in a stabilized brane world model in five-dimensional Brans-Dicke theory
- On the asymmetric non-canonical braneworld in five dimensions
- Hyperbolic deformation of a gauge field theory and the hierarchy problem
- Smoothing out Negative Tension Brane
- Linear Perturbations and Stability Analysis in Braneworld Scenario
- Gauge-gravity correspondence in de Sitter braneworld
- Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
- Note on Warped Compactification -- Finite Brane Potentials and Non-Hermiticity --
- Localized structures in three-field models: geometrically constrained configurations and the first-order framework
- Continuum Dark Matter
- Holography and Emergent 4D Gravity
- BPS Solutions and New Phases of Finite-Temperature Strings
- Unitarity and singular backgrounds
- Trapping of Spin-0 fields on tube-like topological defects
- Symmetries of distributional domain wall geometries
- Scalar Hair of Global Defect and Black Brane World
- Braneworlds, Conformal Fields and the Gravitons
- Novel thick brane solutions with symmetry breaking
- Gravitational localization of scalar zero modes in SU(5) X Z2 branes
- Multi-Scale Physics from Multi-Braneworlds
- A Closer Look at Two Branes in an Bulk
- Thick branes in Born-Infeld determinantal gravity in Weitzenböck spacetime
- Dark Energy Density in Brane World
- Conformal Scale Factor Inversion for Domain Walls and Holography
- Massive states as the relevant deformations of gravitating branes
- Stability in Holographic Theories with Irrelevant Deformations
- Stability of multibrane models
- Five-dimensional warped product space-time with time-dependent warping and a scalar field in the bulk
- Radion-Activated Higgs Mechanism
- Holographic renormalization group flows in two-dimensional gravity and black holes
- On possible small-x effects in the Kaluza-Klein graviton and radion production at high energies
- Hybrid branes from split kinks
- Thick brane models in generalized mimetic gravity
- Comment on Field Redefinitions in the AdS/CFT Correspondence
- Thick brane in Palatini formalism with a non-minimally coupled bulk scalar field
- Analyzing the general conditions for modulus stabilization in a warped braneworld
- Complete factorization of equations of motion for generalized scalar field theories
- Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
- Selfgravitating Higgs domain walls as a braneworlds
- Kink solutions in nonlocal scalar field theory models
- thick branes and perturbative stability
- Search for resonant pair production of Higgs bosons in the final state using large-area jets in proton-proton collisions at = 13 TeV
- Holography and Conformal Anomaly Matching
- Brane structure from a scalar field in general covariant Horava-Lifshitz gravity
- Localization of -form field on squared curvature gravity domain wall brane coupling with gravity and background scalar
- Moduli Dynamics in Effective Nested Warped Geometry in Four Dimensions and Some Cosmological Implications
- Flat and bent branes in Born-Infeld-like scalar field models
- A nearly Dirichlet Higgs for lower-scale warped extra dimensions
- Some Phenomenological Aspects of the (n + m + 1) dimensional Brane World Scenario with an m-form Field
- Black Brane World from Gravitating Half -lump
- Geometry mediated SUSY breaking
- Quantized Scalar Fields in Curved Spacetime Background of Thick Brane
- Thick branes in Horndeski gravity
- Gauge hierarchy from a topological viewpoint?
- Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of gravity
- Radion-Higgs Mixing in 2HDMs
- A possible testbed for warped extra dimension from the angle of Buchdahl's limit
- On black holes in heterotic braneworlds
- Electric Polarization Induced by Gravity in Fat Branes
- On fluctuations of closed string tachyon solitons
- Modified Gravity on the Brane and Dark Energy
- Tuning the Cosmological Constant, Broken Scale Invariance, Unitarity
- Fate of domain walls in 5D gravitational theory with compact extra dimension
- D-dimensional Randall-Sundrum models from Brans-Dicke theory and Kaluza-Klein modes
- Analytical Green's Functions for Continuum Spectra
- Ising Model on Twisted Lattice and Holographic RG flow
- New brane-like solutions in modified four-dimensional Einstein-Gauss-Bonnet gravity
- q-Deformed glueballs spectrum in AdS/QCD correspondence
- Thick branes in the scalar-tensor representation of gravity
- An Investigation of Equivalence between the Bulk-based and the Brane-based Approaches for Anisotropic Models
- The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds
- Radion dynamics in multibrane Randall-Sundrum model
- Compact, long-range and vacuumless regimes controlled by scalar fields in two-dimensional flat and five-dimensional warped geometries
- Localization of Vector Field on Dynamical Domain Wall
- Is the radion a bulk Higgs doublet?
- Bulk Observers in Non-Factorizable Geometries
- We Probably Live On An Inflating Brane-World
- First-order formalism and thick branes in mimetic gravity
- Background gravitational waves as signature of the adiabatic expansion of a black body that represents the dark universe
- Randall-Sundrum Model with a Dilaton Field at Finite Temperature
- The specificity of the interactions of electroweak gauge bosons coming from extra dimensions
- 5D supersymmetric domain wall solution with active hyperscalars and mixed AdS/non-AdS asymptotics
- No Go Theorem for Self Tuning Solutions With Gauss-Bonnet Terms
- Casimir Energy of the Universe and New Regularization of Higher Dimensional Quantum Field Theories
- The clash between de Sitter and anti-de Sitter space
- Studies on Generalized Warped Five-Dimensional Models
- A closed clockwork theory: parity and more
- Constraints on Models with Warped Extra Dimensions
- Abilities of multidimensional gravity
- A 6 dimensional symmetric model with warped physical space
- Cuscuta-Galileon Braneworlds
- A non-standard matter distribution in the RS1 model and the coupling constant of the radion
- Consistent ADD scenario with stabilized extra dimension
- A new energy bound for Einstein-Scalar theory in AlAdS and holographic bound for deformed CFT
- Hierarchy problem and the cosmological constant in a five-dimensional Brans-Dicke brane world model
- Physics of warped dimensions: discrete and continuous spectra