Crystal Manyfold Universes in AdS Space

Abstract

We derive crystal braneworld solutions, comprising of intersecting families of parallel $n+2$-branes in a $4+n$-dimensional $AdS$ space. Each family consists of alternating positive and negative tension branes. In the simplest case of exactly orthogonal families, there arise different crystals with unbroken 4D Poincare invariance on the intersections, where our world can reside. A crystal can be finite along some direction, either because that direction is compact, or because it ends on a segment of $AdS$ bulk, or infinite, where the branes continue forever. If the crystal is interlaced by connected 3-branes directed both along the intersections and orthogonal to them, it can be viewed as an example of a Manyfold universe proposed recently by Arkani-Hamed, Dimopoulos, Dvali and the author. There are new ways for generating hierarchies, since the bulk volume of the crystal and the lattice spacing affect the 4D Planck mass. The low energy physics is sensitive to the boundary conditions in the bulk, and has to satisfy the same constraints discussed in the Manyfold universe. Phenomenological considerations favor either finite crystals, or crystals which are infinite but have broken translational invariance in the bulk. The most distinctive signature of the bulk structure is that the bulk gravitons are Bloch waves, with a band spectrum, which we explicitly construct in the case of a 5-dimensional theory.

16 pages, latex, no figures. v2: comments added and misprints corrected

References in corpus (8)

• A Large Mass Hierarchy from a Small Extra Dimension
• Modulus Stabilization with Bulk Fields
• Bulk Fields in the Randall-Sundrum Compactification Scenario
• Spacetime as a membrane in higher dimensions
• A Bogomol`nyi equation for intersecting domain walls
• Non-standard compactifications with mass gaps and Newton's law
• General considerations of the cosmological constant and the stabilization of moduli in the brane-world picture
• D--term Inflation at the TeV Scale and Large Internal Dimensions

Cited by in corpus (29)

• Radion Dynamics and Electroweak Physics
• Thick domain walls and singular spaces
• The world is not enough
• Multi-Brane Worlds and modification of gravity at large scales
• Warped brane-world compactification with Gauss-Bonnet term
• Completely localized gravity with higher curvature terms
• Origami World
• Stabilization of internal spaces in multidimensional cosmology
• Solving the Hierarchy Problem in Two-Brane Cosmological Models
• Realistic Neutrino Masses from Multi-brane Extensions of the Randall-Sundrum Model?
• Rollercoaster Cosmology
• Brane inflation in tachyonic and non-tachyonic type 0B string theories
• Dilaton-driven brane inflation in type IIB string theory
• Global p-Brane World: A New Approach to Stable Mass Hierarchy
• Gauge Field Emergence from Kalb-Ramond Localization
• Solving the Hierarchy Problem with Brane Crystals
• Dilatonic Domain Walls and Curved Intersecting Branes
• On Stability Of The Crystal Universe Models
• Classification of 5-Dimensional Space-Time with Parallel 3-Branes
• Successful Yukawa structures in Warped Extra Dimensions
• Gravitational Origin of Quark Masses in an Extra-Dimensional Brane World
• A Novel Mass Hierarchy and Discrete Excitation Spectra from Quantum-Fluctuating D-branes
• Trapping Dirac fermions in tubes generated by two scalar fields
• Bosonic Fields in Crystal Manyfolds
• Multi-Scale Physics from Multi-Braneworlds
• Trapping of Spin-0 fields on tube-like topological defects
• Non-factorisable metrics and Gauss--Bonnet terms in higher dimensions
• Brane Networks in AdS Space
• Gravity In A Model Of Multi Branes Alternated Between Minkowski And AdS Spacetime In The Fifth Dimension