BPS States in Supersymmetric Chiral Models with Higher Derivative Terms

Abstract

We study the higher derivative chiral models with four supercharges and BPS states in these models. The off-shell Lagrangian generically includes higher powers of the auxiliary fields F which causes distinct on-shell branches associated with the solutions to the auxiliary fields equation. We point out that the model admits a supersymmetric completion of arbitrary higher derivative bosonic models of a single complex scalar field and an arbitrary scalar potential can be introduced even without superpotentials. As an example, we present a supersymmetric extension of the Faddeev-Skyrme model without four time derivatives, in contrast to the previously proposed supersymmetric Faddeev-Skyrme-like model containing four time derivatives. In general, higher derivative terms together with a superpotential result in deformed scalar potentials. We find that higher derivative corrections to 1/2 BPS domain walls and 1/2 BPS lumps are exactly canceled out while the 1/4 BPS lumps (as compact baby Skyrmions) depend on a characteristic feature of the higher derivative models. We also find a new 1/4 BPS condition for domain wall junctions which generically receives higher derivative corrections.

28 pages, 3 figures, references added, version published in Phys.Rev.D

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Cited by in corpus (10)

• Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Topological solitons in the supersymmetric Skyrme model
• Skyrmions confined as beads on a vortex ring
• Supersymmetry Breaking in Spatially Modulated Vacua
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Effective operators in SUSY, superfield constraints and searches for a UV completion
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties