Scaling of Multi-Tension Cosmic Superstring Networks

Abstract

Brane inflation in superstring theory ends when branes collide, initiating the hot big bang. Cosmic superstrings are produced during the brane collision. The cosmic superstrings produced in a D3-brane-antibrane inflationary scenario have a spectrum: $(p,q)$ bound states of $p$ fundamental (F) strings and $q$ D-strings, where $p$ and $q$ are coprime. By extending the velocity-dependent one-scale network evolution equations for abelian Higgs cosmic strings to allow a spectrum of string tensions, we construct a coupled (infinite) set of equations for strings that interact through binding and self-interactions. We apply this model to a network of $(p,q)$ superstrings. Our numerical solutions show that $(p,q)$ networks rapidly approach a stable scaling solution. We also extract the relative densities of each string type from our solutions. Typically, only a small number of the lowest tension states are populated substantially once scaling is reached. The model we study also has an interesting new feature: the energy released in $(p,q)$ string binding is by itself adequate to allow the network to reach scaling. This result suggests that the scaling solution is robust. To demonstrate that this result is not trivial, we show that choosing a different form for string interactions can lead to network frustration.

v2: 30 pages, 6 figures, references added to match version submitted to Phys. Rev. D v3: typos corrected on pp. 7-8

References in corpus (22)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• de Sitter Vacua in String Theory
• Towards Inflation in String Theory
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• Brane Inflation
• Cosmic String Production Towards the End of Brane Inflation
• Cosmic F- and D-strings
• The Inflationary Brane-Antibrane Universe
• Gravitational wave bursts from cusps and kinks on cosmic strings
• Formation and evolution of cosmic D-strings
• Quantitative String Evolution
• Extending the Velocity-dependent One-scale String Evolution Model
• The Production, Spectrum and Evolution of Cosmic Strings in Brane Inflation
• Brane Interaction as the Origin of Inflation
• Observational Constraints on Cosmic String Production During Brane Inflation
• Evolution of cosmic string configurations
• Cosmology in a String-Dominated Universe
• Confinement on the Brane
• Brane Inflation and Cosmic String Tension in Superstring Theory
• Large Angle CMB Fluctuations from Cosmic Strings with a Comological Constant
• Observational constraints on cosmic strings: Bayesian analysis in a three dimensional parameter space
• Inter-brane Interactions in Compact Spaces and Brane Inflation

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