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

Abstract

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. In four-dimensional Euclidean space, we find Yang-Mills instantons trapped inside a non-Abelian vortex, intersecting vortices, intersecting vortex-(BPS)baby Skyrmions as 1/4 BPS states in the canonical branch but no BPS states in the non-canonical branch other than those in the Minkowski space.

29 pages, title changed, references added, typos corrected, published version in Phys. Rev. D

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Cited by in corpus (10)

• Topological solitons in the supersymmetric Skyrme model
• Skyrmions confined as beads on a vortex ring
• Supersymmetry Breaking in Spatially Modulated Vacua
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Solitonic ground state in supersymmetric theory in background
• Near-BPS Skyrmions
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets
• Self-dual solitons in a Born-Infeld baby Skyrme model