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.

arXiv comment29 pages, title changed, references added, typos corrected, published version in Phys. Rev. D

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Cited by in corpus (30)

• The BPS property and its breaking in 1+1 dimensions
• Topological solitons in the supersymmetric Skyrme model
• A higher-order Skyrme model
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Skyrmions confined as beads on a vortex ring
• Non-minimal scalar multiplets, supersymmetry breaking and dualities
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• ADHM Construction of (Anti-)Self-dual Instantons in Eight Dimensions
• Supersymmetry Breaking in Spatially Modulated Vacua
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Near-BPS baby Skyrmions
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Solitonic ground state in supersymmetric theory in background
• Ghostbusters in $f(R)$ supergravity
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Near-BPS baby Skyrmions with Gaussian tails
• Near-BPS Skyrmions
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• Bogomolny equations for the BPS Skyrme models with impurity
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Self-dual solitons in a Born-Infeld baby Skyrme model