On Newton's law in supersymmetric braneworld models

Abstract

We study the propagation of gravitons within 5-D supersymmetric braneworld models with a bulk scalar field. The setup considered here consists of a 5-D bulk spacetime bounded by two 4-D branes localized at the fixed points of an $S^1/Z_2$ orbifold. There is a scalar field $\varphi$ in the bulk which, provided a superpotential $W(\varphi )$, determines the warped geometry of the 5-D spacetime. This type of scenario is common in string theory, where the bulk scalar field $\varphi$ is related to the volume of small compact extra dimensions. We show that, after the moduli are stabilized by supersymmetry breaking terms localized on the branes, the only relevant degrees of freedom in the bulk consist of a 5-D massive spectrum of gravitons. Then we analyze the gravitational interaction between massive bodies localized at the positive tension brane mediated by these bulk gravitons. It is shown that the Newtonian potential describing this interaction picks up a non-trivial contribution at short distances that depends on the shape of the superpotential $W(\varphi )$. We compute this contribution for dilatonic braneworld scenarios $W(\varphi )=e^{\alpha \varphi }$ (where $\alpha$ is a constant) and discuss the particular case of 5-D Heterotic M-theory: It is argued that a specific footprint at micron scales could be observable in the near future.

30 pages, 1 figure

References in corpus (74)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• The Confrontation between General Relativity and Experiment
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Modulus Stabilization with Bulk Fields
• Supergravity description of field theories on curved manifolds and a no go theorem
• Modeling the fifth dimension with scalars and gravity
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Brane-World Gravity
• Tests of the Gravitational Inverse-Square Law
• Quantum Gravity and Extra Dimensions at High-Energy Colliders
• Brane-world gravity
• The Universe as a Domain Wall
• Gravity in the Randall-Sundrum Brane World
• Tensor-scalar gravity and binary-pulsar experiments
• Sub-millimeter tests of the gravitational inverse-square law: A search for "large" extra dimensions
• The Confrontation between General Relativity and Experiment
• Heterotic M-theory in Five Dimensions
• Indirect Collider Signals for Extra Dimensions
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• Collider Signatures of New Large Space Dimensions
• Brane cosmology: an introduction
• Brane World Cosmology
• Gravitational-wave versus binary-pulsar tests of strong-field gravity
• New Experimental Constraints on Non-Newtonian Forces below 100 microns
• General Properties of the Self-tuning Domain Wall Approach to the Cosmological Constant Problem
• An Early Proposal of "Brane World"
• Supersymmetry in Singular Spaces
• Gravity in the brane-world for two-branes model with stabilized modulus
• Boundary Inflation
• Induced Gravity on RS Branes
• Tests of scalar-tensor gravity
• Superfield Approach to 5D Conformal SUGRA and the Radion
• Brane World Models With Bulk Scalar Fields
• Dynamical Instability of Brane Solutions with a Self-Tuning Cosmological Constant
• Higher order corrections to the Newtonian potential in the Randall-Sundrum model
• Cosmological Evolution of Brane World Moduli
• Colliding Branes in Heterotic M-theory
• Is the radion a chameleon?
• Brane world corrections to Newton's law
• Cosmological Solutions of Supergravity in Singular Spaces
• Cosmological Evolution on Self-Tuned Branes and the Cosmological Constant
• Deviations From Newton's Law in Supersymmetric Large Extra Dimensions
• Scalar-Tensor Gravity in Two 3-brane System
• Gauge Coupling Variation in Brane Models
• 4D Superfield Reduction of 5D Orbifold SUGRA and Heterotic M-theory
• Dilatonic Brane-World Black Holes, Gravity Localization and Newton Constant
• Cosmology with Radion and Bulk Scalar Field in Two Branes Model
• Brane Gravity at Low Energy
• Bouncing Negative-Tension Branes
• Effective Actions for Heterotic M-Theory
• Modified Newton's law, braneworlds, and the gravitational quantum well
• Boundary Inflation and the WMAP Data
• Newton potential in deSitter braneworld
• S-Track Stabilization of Heterotic de Sitter Vacua
• Low Energy Branes, Effective Theory and Cosmology
• Newton's law in braneworlds with an infinite extra dimension
• Moduli-Space Approximation for BPS Brane-Worlds
• Neutrino Dark Energy and Moduli Stabilization in a BPS Braneworld Scenario
• Newton's law in de Sitter brane
• Supersymmetry Breaking with Zero Vacuum Energy in M-Theory Flux Compactifications
• (BPS) Fayet-Iliopoulos Terms in 5D Orbifold SUGRA
• Detuned Branes and Supersymmetry Breaking
• Soft Supersymmetry Breaking on the Brane
• The 4d effective action of 5d gauged supergravity with boundaries
• Gravitational Forces in the Brane World
• Weaker Gravity at Submillimetre Scales in Braneworld Models
• Corrections to the Newtonian potential in the two-brane Randall-Sundrum model
• Radion Dynamics in BPS Braneworlds

Cited by in corpus (7)

• Power Towers of String Instantons for N=1 Vacua
• Bouncing Negative-Tension Branes
• The Effects of Minimal Length in Entropic Force Approach
• 4D gravity on a BPS brane in 5D AdS-Minkowski space
• 4D gravity on a non-BPS bent dilatonic brane
• Instanton Counting and Dielectric Branes
• Short Distance Modification of a Gravitational System and its Optical Analog