标量anomaly消去揭示了轻子和夸克的量子手征SU（2/1）模型的超代数结构
Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks
摘要：
在经典水平上，SU（2/1）超代数提供了对基本粒子的自然描述：轻子和夸克的无质量态，按照它们的手征性分级，符合SU（2/1）的最小不可约表示。我们的新命题是将左/右时空手征与超代数手征配对，在单圈量子水平上研究该模型。如果，尽管它们是非厄米的，我们使用SU（2/1）的奇矩阵，以最小的耦合定向复杂的希格斯标量场的手征费米子，新的异常发生。它们影响标量传播子和顶点。然而，这些不需要的新项与阿德勒-贝尔-杰基矢量异常一起被抵消了，因为夸克补偿了轻子。意想不到的和惊人的结果是，标量传播必须使用反对称超Killing度量和标量向量顶点必须使用超代数的对称d_aij结构常数规范化。尽管有这种非凡的结构，所得到的拉格朗日量实际上是厄米的。
英文摘要：
At the classical level, the SU(2/1) superalgebra offers a natural description of the elementary particles: leptons and quarks massless states, graded by their chirality, fit the smallest irreducible representations of SU(2/1). Our new proposition is to pair the left/right space-time chirality with the superalgebra chirality and to study the model at the one-loop quantum level. If, despite the fact that they are non-Hermitian, we use the odd matrices of SU(2/1) to minimally couple an oriented complex Higgs scalar field to the chiral Fermions, novel anomalies occur. They affect the scalar propagators and vertices. However, these undesired new terms cancel out, together with the Adler-Bell-Jackiw vector anomalies, because the quarks compensate the leptons. The unexpected and striking consequence is that the scalar propagator must be normalized using the antisymmetric super-Killing metric and the scalar-vector vertex must use the symmetric d_aij structure constants of the superalgebra. Despite this extraordinary structure, the resulting Lagrangian is actually Hermitian.
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