EFT for Vortices with Dilaton-dependent Localized Flux

Abstract

We study how codimension-two objects like vortices back-react gravitationally with their environment in theories (such as 4D or higher-dimensional supergravity) where the bulk is described by a dilaton-Maxwell-Einstein system. We do so both in the full theory, for which the vortex is an explicit classical `fat brane' solution, and in the effective theory of `point branes' appropriate when the vortices are much smaller than the scales of interest for their back-reaction (such as the transverse Kaluza-Klein scale). We extend the standard Nambu-Goto description to include the physics of flux-localization wherein the ambient flux of the external Maxwell field becomes partially localized to the vortex, generalizing the results of a companion paper to include dilaton-dependence for the tension and localized flux. In the effective theory, such flux-localization is described by the next-to-leading effective interaction, and the boundary conditions to which it gives rise are known to play an important role in how (and whether) the vortex causes supersymmetry to break in the bulk. We track how both tension and localized flux determine the curvature of the space-filling dimensions. Our calculations provide the tools required for computing how scale-breaking vortex interactions can stabilize the extra-dimensional size by lifting the dilaton's flat direction. For small vortices we derive a simple relation between the near-vortex boundary conditions of bulk fields as a function of the tension and localized flux in the vortex action that provides the most efficient means for calculating how physical vortices mutually interact without requiring a complete construction of their internal structure. In passing we show why a common procedure for doing so using a $\delta$-function can lead to incorrect results. Our procedures generalize straightforwardly to general co-dimension objects.

45 pages + appendix, 6 figures

References in corpus (12)

• Scaling Solutions to 6D Gauged Chiral Supergravity
• Scalar mode analysis of the warped Salam-Sezgin model
• Cosmic Strings in Hidden Sectors: 1. Radiation of Standard Model Particles
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• Dynamical solutions of warped six dimensional supergravity
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• Cosmic strings interacting with dark strings
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• Instability of brane cosmological solutions with flux compactifications
• Distributed SUSY Breaking: Dark Energy, Newton's Law and the LHC
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Cited by in corpus (8)

• UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity
• Point-Particle Effective Field Theory III: Relativistic Fermions and the Dirac Equation
• Fine-tuning with Brane-Localized Flux in 6D Supergravity
• Light Axiodilatons: Matter Couplings, Weak-Scale Completions and Long-Distance Tests of Gravity
• A Problem With delta-functions: Stress-Energy Constraints on Bulk-Brane Matching (with comments on arXiv:1508.01124)
• SLED Phenomenology: Curvature vs. Volume
• QCD Axion Strings or Seeds?
• Rotating kinky braneworlds