标题： 非线性 (3, 4, 1) 乘积式${\cal N} = 4$,$d = 1$超对称性作为半动态自旋乘积式 显示英文标题

标题： Non-linear (3, 4, 1) multiplet of ${\cal N} = 4$, $d = 1$ supersymmetry as a semi-dynamical spin multiplet

摘要： 我们考虑一种新的${\cal N}=4$、$d=1$半动力多重态，它基于镜像多重态${\bf (3, 4, 1)}$的非线性版本，三重态的玻色子物理场参数化一个半径为$R$的三维球面$S^3$。 极限$R\to\infty$等于收缩$S^3\to\mathbb{R}^3$并导致线性镜像多重态${\bf (3, 4, 1)}$。由Wess-Zumino作用量描述的自旋自由度指定一个嵌入在球面$S^3$上的二维表面。所考虑的例子中的一对对应于圆和挤压的“模糊”2-球面。我们将挤压的2-球面模型与动态镜像多重态${\bf (2, 4, 2)}$耦合。这种耦合的一个显著特点是挤压参数依赖于奇数多重态的玻色场$z, \bar z$。 显示英文摘要

摘要： We consider a new type of ${\cal N}=4$, $d=1$ semi-dynamical multiplet based on the non-linear version of the mirror multiplet ${\bf (3, 4, 1)}$, with the triplet of bosonic physical fields parametrizing a three-dimensional sphere $S^3$ of the radius $R$. The limit $R\to\infty$ amounts to the contraction $S^3\to\mathbb{R}^3$ and leads to the linear mirror multiplet ${\bf (3, 4, 1)}$. Spin degrees of freedom described by a Wess-Zumino action specify a two-dimensional surface embedded in the sphere $S^3$. A pair of the examples considered correspond to the round and squashed ``fuzzy'' 2-spheres. We couple the squashed 2-sphere model to the dynamical mirror multiplet ${\bf (2, 4, 2)}$. A notable feature of this coupling is the dependence of the squashing parameter on the bosonic fields $z, \bar z$ of the chiral multiplet.