A Note on Cosmic (p,q,r) Strings

Abstract

The spectrum of $(p,q)$ bound states of F- and D-strings has a distinctive square-root tension formula that is hoped to be a hallmark of fundamental cosmic strings. We point out that the Bogomol'nyi-Prasad-Sommerfield (BPS) bound for vortices in $\mathcal{N}=2$ supersymmetric Abelian-Higgs models also takes the square-root form. In contrast to string theory, the most general supersymmetric field theoretic model allows for $(p,q,r)$ strings, with three classes of strings rather than two. Unfortunately, we find that there do not exist BPS solutions except in the trivial case. The issue of whether there exist non-BPS solutions which may closely resemble the square-root form is left as an open question.

4 pages; v2: references added

References in corpus (12)

• Cosmic F- and D-strings
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Collisions of Cosmic F- and D-strings
• Cosmology in a String-Dominated Universe
• Universal Reconnection of Non-Abelian Cosmic Strings
• Reconnection of Non-Abelian Cosmic Strings
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• On the evolution of cosmic-superstring networks
• The (p,q) String Tension in a Warped Deformed Conifold
• A practical model for cosmic (p,q) superstrings
• Cosmic Superstring Gravitational Lensing Phenomena: Predictions for Networks of (p,q) Strings
• New BPS Objects in N=2 Supersymmetric Gauge Theories

Cited by in corpus (4)

• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Cosmic Necklaces from String Theory
• Gravitational Wave Bursts from Cosmic Superstring Reconnections
• 1/2-BPS vortex strings in $\mathcal{N}=2$ supersymmetric $\mathrm{U}(1{)}^N$ gauge theories