BPS Walls and Junctions in SUSY Nonlinear Sigma Models

Abstract

BPS walls and junctions are studied in $\mathcal{N}=1$ SUSY nonlinear sigma models in four spacetime dimensions. New BPS junction solutions connecting N discrete vacua are found for nonlinear sigma models with several chiral scalar superfields. A nonlinear sigma model with a single chiral scalar superfield is also found which has a moduli space of the topology of $S^1$ and admits BPS walls and junctions connecting arbitrary points in moduli space. SUSY condition in nonlinear sigma models are classified either as stationary points of superpotential or singularities of the Kähler metric in field space. The total number of SUSY vacua is invariant under holomorphic field redefinitions if we count ``runaway vacua'' also.

LaTeX file, 26 page, 16 eps figure, v3: references added

References in corpus (3)

• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• Simple SUSY Breaking Mechanism by Coexisting Walls
• An Exact Solution of BPS Junctions and Its Properties

Cited by in corpus (34)

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• Instantons in the Higgs Phase
• Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models
• 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
• Non-Abelian Webs of Walls
• Q-balls, Integrability and Duality
• Solvable Models of Domain Walls in N=1 Supergravity
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Dynamics of Domain Wall Networks
• Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
• Non-Abelian Sine-Gordon Solitons
• Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Brane Dynamics From Non-Linear Realizations
• Effective Action of Domain Wall Networks
• New BPS Objects in N=2 Supersymmetric Gauge Theories
• Fermion states on domain wall junctions and the flavor number
• Domain Lines as Fractional Strings
• Constructing networks of defects with scalar fields
• Construction of topological defect networks with complex scalar fields
• Superfield Description of Effective Theories on BPS Domain Walls
• Defect structures in sine-Gordon-like models
• Winding number and non-BPS bound states of walls in nonlinear sigma models
• Solitons in Supersymmetric Gauge Theories: Moduli Matrix Approach
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Exact solutions of domain wall junctions in arbitrary dimensions
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Modified mode-expansion on a BPS wall related to the nonlinear realization
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• Effective Lagrangian of Domain Wall Networks