Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model

Abstract

We study the supersymmetric extensions of the $O(3)$ $\sigma$-model in $1+1$ and $2+1$ dimensions. We show that it is possible to construct non-equivalent supersymmetric versions of a given model sharing the same bosonic sector and free from higher-derivative terms.

arXiv comment19 pages

References in corpus (18)

• Multisolitons in a Two-dimensional Skyrme Model
• A Skyrme-type proposal for baryonic matter
• A measurement of the Q^2, W and t dependences of deeply virtual Compton scattering at HERA
• Investigation of restricted baby Skyrme models
• Doppelganger defects
• N=1 supersymmetric extension of the baby Skyrme model
• Extended Supersymmetry and BPS solutions in baby Skyrme models
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Twinlike Models in Scalar Field Theories
• A supersymmetric Skyrme model
• Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
• An algebraic construction of twin-like models
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Twinlike models with identical linear fluctuation spectra
• Topological solitons in the supersymmetric Skyrme model
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Baby Skyrme model and fermionic zero modes
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions

Cited by in corpus (4)

• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Ghostbusters in $f(R)$ supergravity
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein