A bstract We find supersymmetric extensions of the half-BPS soliton-impurity models in (1+
1) dimensions which preserve half of the\(\mathcal {N}\)= 1 supersymmetry. This is related to …

We study BPS vortices in a CPT-odd and Lorentz-violating Maxwell–Chern–Simons–Higgs
(MCSH) electrodynamics attained from the dimensional reduction of the Carroll–Field …

We study the higher derivative chiral models with four supercharges and Bogomol'nyi–
Prasad–Sommerfield (BPS) states in these models. The off-shell Lagrangian generically …

We show that the Bogomol'nyi-Prasad-Sommerfield (BPS) property is a generic feature of all
models in (1+ 1) dimensions that does not put any restriction on the action. Here, by BPS …

A bstract Construction of a supersymmetric extension of the Skyrme term was a long-
standing problem because of the auxiliary field problem; that is, the auxiliary field may …

A bstract We continue the investigation of supersymmetric extensions of baby Skyrme
models in d= 2+ 1 dimensions. In a first step, we show that the CP (1) form of the baby …

We investigate the existence and properties of kink-like solitons in a class of models with two
interacting scalar fields. In particular, we focus on models that display both double and …

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 …

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 …

A bstract We present for the first time a ghost-free higher-derivative chiral model with a
propagating auxiliary F-term field (highest component of the chiral multiplet). We obtain this …