双旋量规范理论中的标量超对称性
Scalar Supersymmetry in Bi-Spinor Gauge Theory
摘要：
我们描述了一个新的实现的全球和当地的超对称作用在空间的交换和反交换微分形式。与标准超对称不同，它具有洛伦兹标量变换参数。它与标准的超对称性有关，但不能简化为标准的超对称性。用新的超对称性（称为标量超对称性）重构标准模型，可以通过SM的粒子含量来实现。BRST对称性扩展到包括标量超对称多重态。本文描述了标量超对称性在自由场和与背景引力相互作用场中的线性实现。规范相互作用需要标量超对称的非线性实现，除了SU（2），还需要非线性规范固定条件。要求相互作用量具有最简单手征多重态的标量超对称性可以将理论的动力学内容减少到SM的动力学内容：一个复标量，规范场和三代Weyl旋量。在低能量下，标量超对称性被规范相互作用明确破缺。然而，在渐近自由的情况下，它在紫外极限下变得精确。因此，它具有软破缺标准超对称性的两个最理想的特征。给出了相互作用弦作用量中精确标量超对称性的实现。
英文摘要：
We describe a new realization of both global and local supersymmetry acting in spaces of commuting and anticommuting differential forms. Unlike the standard supersymmetry, it has Lorentz scalar transformation parameters. It is related but is not reducible to standard supersymmetry. Reformulation of the Standard Model with the new supersymmetry, called scalar supersymmetry, can be achieved with the particle content of the SM. BRST symmetry is extended to include scalar supersymmetry multiplets. Linear realization of scalar supersymmetry with free fields or with fields interacting with background gravity is described. Gauge interactions require non-linear realizations of scalar supersymmetry and, except for SU(2), non-linear gauge-fixing conditions. Requiring scalar supersymmetry of interacting action with the simplest chiral multiplet can reduce the dynamical content of the theory to that of the SM: one complex scalar, gauge fields, and three generations of Weyl spinors. At low energies scalar supersymmetry is explicitly broken by gauge interactions. However, in the asymptotically free case it becomes exact in the ultraviolet limit. Thus it has the two most desirable features of softly broken standard supersymmetry built in. Implementation of exact scalar supersymmetry in an interacting string action is given.
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