Stability and Negative Tensions in 6D Brane Worlds

Abstract

We investigate the dynamical stability of warped, axially symmetric compactifications in anomaly free 6D gauged supergravity. The solutions have conical defects, which we source by 3-branes placed on orbifold fixed points, and a smooth limit to the classic sphere-monopole compactification. Like for the sphere, the extra fields that are generically required by anomaly freedom are especially relevant for stability. With positive tension branes only, there is a strict stability criterion (identical to the sphere case) on the charges present under the monopole background. Thus brane world models with positive tensions can be embedded into anomaly free theories in only a few ways. Meanwhile, surprisingly, in the presence of a negative tension brane the stability criteria can be relaxed. We also describe in detail the geometries induced by negative tension codimension two branes.

28 pages, 2 figures

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• Chiral fermions in a spacetime with multiple warping
• General Perturbations for Braneworld Compactifications and the Six Dimensional Case
• Resonance spectrum of a bulk fermion on branes
• Supersymmetric codimension-two branes in six-dimensional gauged supergravity
• Chiral Asymmetry from a 5D Higgs Mechanism
• Running with Rugby Balls: Bulk Renormalization of Codimension-2 Branes
• Pseudo-3-Branes in a Curved 6D Bulk
• A comment on $p$-branes of ($p+3$)$\mathrm{d}$ string theory
• Brane Gravitational Interactions from 6D Supergravity
• Flat-brane Compactifications in Supergravity Induced by Scalars
• Gravitational Forces on a Codimension-2 Brane
• The Fate of Unstable Gauge Flux Compactifications
• Spacetime evolution during moduli stabilization in radiation dominated era beyond 4D effective theory
• A Compact Codimension Two Braneworld with Precisely One Brane
• Graviton Propagation in an Asymmetric Warped Background: Lorentz Violation and the Null Energy Condition
• Gravity in a warped 6D world with an extra 2D sphere