Walls and vortices in supersymmetric non-abelian gauge theories

Abstract

We review recent results on the BPS multi-wall solutions in supersymmetric U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the fundamental representation. Total moduli space of the BPS non-Abelian walls is found to be the complex Grassmann manifold SU(N_F)/[SU(N_C)xSU(N_F-N_C)xU(1)]. Exact solutions are obtained with full generic moduli for infinite gauge coupling. A 1/4 BPS equation is also solved, giving vortices together with the non-Abelian walls and monopoles in the Higgs phase attached to the vortices. The full moduli space of the 1/4 BPS solutions is found to be holomorphic maps from a complex plane to the wall moduli space.

10pages, 2figures, Contribution to the proceedings of ``NathFest'' at PASCOS conference, Northeastern University, Boston, Ma, August 2004

References in corpus (3)

• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories

Cited by in corpus (12)

• Solitons in the Higgs phase -- the moduli matrix approach --
• Instantons in the Higgs Phase
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• D-brane Construction for Non-Abelian Walls
• Webs of Walls
• Global Structure of Moduli Space for BPS Walls
• Domain Walls with Non-Abelian Clouds
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Effective Action of Domain Wall Networks
• Moduli Space of BPS Walls in Supersymmetric Gauge Theories
• Stable vs Unstable Vortices in SQCD