Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations

Abstract

When global symmetries are spontaneously broken in supersymmetric vacua, there appear quasi-Nambu-Goldstone (NG) fermions as superpartners of NG bosons. In addition to these, there can appear quasi-NG bosons in general. The quasi-NG bosons and fermions together with the NG bosons are organized into chiral multiplets. Kähler potentials of low-energy effective theories were constructed some years ago as supersymmetric nonlinear realizations. It is known that higher derivative terms in the superfield formalism often encounter with the auxiliary field problem; the auxiliary fields are acted by space-time derivatives and cannot be eliminated. In this paper, we construct higher derivative corrections to supersymmetric nonlinear realizations in the off-shell superfield formalism free from the auxiliary field problem. As an example, we present manifestly supersymmetric chiral Lagrangian.

31 pages, one figure, references added, published version

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• Topological solitons in the supersymmetric Skyrme model
• Quasi-Nambu-Goldstone modes in nonrelativistic systems
• Nonlocal N=1 Supersymmetry
• Supersymmetry Breaking in Spatially Modulated Vacua
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Two-dimensional Schrödinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Self-dual solitons in a Born-Infeld baby Skyrme model
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties