The Cosmological Constant Problem and the Extra Dimensions of $\mathcal{N}=2$ $\mathcal{D}=5$ Supergravity

Abstract

We propose an interpretation for the cosmological constant problem based on modeling the universe as a 3-brane embedded in the bulk of 5-dimensional supergravity with hypermultiplets. When solving the modified Friedmann equations the complex structure moduli of the Calabi-Yau manifold cancel the large value of the vacuum energy density on the brane, wherein this value transfers to an Anti-de Sitter fifth dimensional bulk compactified on a scale $(\sim 10^{-26}\text{m})$. An effective dark energy density is produced on the brane which equals the observed value responsible for the late-time acceleration of the universe. The bulk undergoes a decelerated contraction while we show that cosmic expansion of the brane-universe consists with the recent observed data of the $\Lambda$CDM model. On the other hand, through this model, the hierarchy between the electroweak scale $(M_{EW}=100\text{GeV})$ and the Planck scale $(M_{pl}\sim 10^{18}\text{GeV})$ is interpreted by compactifying the 6-extra dimensions of $\mathcal{D}=5$ supergravity on a sub-millimeters scale, where the fundamental scale of gravity within these extra dimensions is ${\mathcal{M}}_{EW}$.

arXiv comment13 pages, 6 figures

References in corpus (21)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Sub-millimeter Tests of the Gravitational Inverse-square Law
• General matter coupled N=2, D=5 gauged supergravity
• Accelerated expansion from a non-minimal gravitational coupling to matter
• The Road to Precision Cosmology
• A Naturally Small Cosmological Constant on the Brane?
• Late time cosmic acceleration in modified Sáez-Ballester theory
• Baryon acoustic oscillations in thin redshift shells from BOSS DR12 and eBOSS DR16 galaxies
• Toward the classification of BPS solutions of N=2, d=5 gauged supergravity with matter couplings
• A Novel Approach to the Cosmological Constant Problem
• The five dimensional universal hypermultiplet and the cosmological constant problem
• Brane-Worlds and the Calabi-Yau Complex Structure Moduli
• Fine Tuning Problem of the Cosmological Constant in a Generalized Randall-Sundrum Model
• Universe Acceleration in Brane World Models
• Interpreting the Cosmic History of the Universe Through Five-Dimensional Supergravity
• Cosmic Acceleration Caused by the Extra-Dimensional Evolution in a Generalized Randall-Sundrum Model
• The Hierarchy Problem and $\mathcal{N}=2$ $\mathcal{D}=5$ Supergravity