Solitons on Singularities

Abstract

We describe solitons that live on the world--volumes of D5 branes wrapped on deformed $A_2$ singularities fibered over $C(x)$. We show that monopoles are D3 branes wrapped on a node of the deformed singularity and stretched along $C(x)$. F and D--term strings are D3 branes wrapped on a node of a singularity that is deformed and resolved respectively. Domain walls require deformed $A_3$ singularities and correspond to D5 branes wrapped on a node and stretched along $C(x)$.

25 pages in phyzzx.tex, minor corrections made, six references added; v3 minor changes, reference added; v4 section 2 modified

References in corpus (12)

• TASI Lectures on Solitons
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Vortices of Higher Winding Numbers
• Non-Abelian Walls in Supersymmetric Gauge Theories
• On the moduli space of semilocal strings and lumps
• Geometric Transitions and Dynamical SUSY Breaking
• D-brane Construction for Non-Abelian Walls
• On the Stability of Non-Abelian Semi-local Vortices
• The energy and stability of D-term strings
• Metastable Supersymmetry Breaking Vacua in Abelian Brane Models
• Cosmic Strings with Small Tension