Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models

Understand

We study N=1 supersymmetric gauge theories coupled with higher derivative chiral models in four dimensions in the off-shell superfield formalism.

• We solve the equation of motion for the auxiliary fields and find two distinct on-shell structures of the Lagrangian that we call the canonical and non-canonical branches characterized by zero and non-zero auxiliary fields, respectively.
• We classify BPS states of the models in Minkowski and Euclidean spaces.
• In Minkowski space, we find Abelian and non-Abelian vortices, vortex-lumps (or gauged lumps with fractional lump charges) as 1/2 BPS states in the canonical branch and higher derivative generalization of vortices and vortex-(BPS)baby Skyrmions (or gauged BPS baby Skyrmions with fractional baby Skyrme charges) as 1/4 BPS states in the non-canonical branch.