Domain Wall Junctions in Supersymmetric Field Theories in D=4

Abstract

We study the possible BPS domain wall junction configurations for general polynomial superpotentials of N=1 supersymmetric Wess-Zumino models in D=4. We scan the parameter space of the superpotential and find different possible BPS states for different values of the deformation parameters and present our results graphically. We comment on the domain walls in F/M/IIA theories obtained from the Calabi-Yau fourfolds with isolated singularities and a background flux.

26 pages, 4 figures

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• Brane Junctions in the Randall-Sundrum Scenario
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• BPS Walls and Junctions in SUSY Nonlinear Sigma Models
• Effective Action of Domain Wall Networks
• Network of Domain Walls on Soliton Stars
• SUSY Breaking by Overlap of Wave Functions in Coexisting Walls
• Complete factorization of equations of motion in Wess-Zumino theory
• Complete factorization of equations of motion in supersymmetric field theories
• New BPS Objects in N=2 Supersymmetric Gauge Theories
• Fermion states on domain wall junctions and the flavor number
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Exact solutions of domain wall junctions in arbitrary dimensions
• Our World as an Intersection of Walls and a String
• Vacua, walls and junctions in $G_{N_F,N_C}$
• Junctions of mass-deformed nonlinear sigma models on the Grassmann manifold
• Our wall as the origin of CP violation