BPS bounds in supersymmetric extensions of K field theories

Abstract

We demonstrate that in the supersymmetric extensions of a class of generalized (or K) field theories introduced recently, the static energy satisfies a BPS bound in each topological sector. Further, the corresponding soliton solutions saturate the bound. We also find strong indications that the BPS bound shows up in the SUSY algebra as a central extension, as is the case in the well-known supersymmetric field theories with standard kinetic terms.

Latex, 16 pages

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• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• The BPS property and its breaking in 1+1 dimensions
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Near-BPS Skyrmions: Constant baryon density
• Dynamical Foundations of the Brane Induced Gravity
• Stability of kinklike structures in generalized models
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model