Supersymmetric K field theories and defect structures

Abstract

We construct supersymmetric K field theories (i.e., theories with a non-standard kinetic term) in 1+1 and 2+1 dimensions such that the bosonic sector just consists of a nonstandard kinetic term plus a potential. Further, we study the possibility of topological defect formation in these supersymmetric models. Finally, we consider more general supersymmetric K field theories where, again, topological defects exist in some cases.

Latex, 6 figures, 27 pages

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• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
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• Twinlike models for kinks and compactons in flat and warped spacetime
• First-order formalism for twinlike models with several real scalar fields
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• Deformed self-dual magnetic monopoles
• Stability of kinklike structures in generalized models
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• Nontopological self-dual Maxwell-Higgs vortices
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
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• A Note on Quantum Compactons
• Stable static structures in models with higher-order derivatives
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• A gauged baby Skyrme model and a novel BPS bound
• Supersymmetric extensions of K field theories
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Self-dual solitons in a Born-Infeld baby Skyrme model