Embedded Vortices

Abstract

We present a discussion of embedded vortices in general Yang-Mills theories. The origin of a family structure of solutions is shown to be group theoretic in nature and a procedure for its determination is developed. Vortex stability can be quantified into three types: Abelian topological stability, non-Abelian topological stability, and dynamical stability; we relate these to the family structure of vortices, in particular discussing how Abelian topological and dynamical stability are related. The formalism generally encompasses embedded domain walls and embedded monopoles also.

final corrections. latex file

References in corpus (4)

• Semilocal Topological Defects
• Embedded Defects
• Semilocal Defects
• Examples of Embedded Defects (in Particle Physics and Condensed Matter)

Cited by in corpus (7)

• Enlarging the parameter space of standard hybrid inflation
• Examples of Embedded Defects (in Particle Physics and Condensed Matter)
• Classifying Vortex Solutions to Gauge Theories
• Asymptotically embedded defects
• Stability of the embedded string in the $SU(N)\times U(1)$ Higgs model and its application
• Embedded Monopoles
• GUT cosmic strings and inflation