An article entitled “Nonlinear (3, 4, 1) multiplet of N=4, d=1 supersymmetry as a semidynamical spin multiplet” by scientists from the Laboratory of Theoretical Physics at JINR and the Moscow Institute of Physics and Technology was published in Physical Review D. The authors of the research are Evgeny Ivanov and Stepan Sidorov.

The paper considers a new type of N=4, d=1 semidynamical multiplet based on the nonlinear version of the mirror multiplet (3, 4, 1), with the triplet of bosonic physical fields parametrising a three-dimensional sphere S³ of the radius R. The limit R → ∞ amounts to the contraction S³ → R³ and leads to the linear mirror multiplet (3, 4, 1). Spin degrees of freedom described by a Wess-Zumino action specify a two-dimensional surface embedded in the sphere S³. A pair of the examples considered correspond to the round and squashed “fuzzy” 2-spheres. The authors couple the squashed 2-sphere model to the dynamical mirror multiplet (2, 4, 2). A notable feature of this coupling is the dependence of the squashing parameter on the bosonic fields z, z of the chiral multiplet.