论文标题
su（2/1）超顺式自偶性：一种新的量子，代数和几何范式来描述electroweak互动
SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions
论文作者
论文摘要
我们提出了Yang-Mills范式从Lie代数到内部手性超级级别的扩展。我们用超级值$ \ wideTilde {a} $混合各个学位的外部形式，并满足胆小的自由度条件$ \ widetilde $ \ wideTilde {a} = {a}^$ deTETILDEL，我们将替换为超gera的polyform $ \ widetilde {a} $混合各个学位的外部，并满足胆小的自由度条件$ \ widetilde {A}超级分级运算符。该超级连接包含在偶数尺寸的Yang-mills矢量，以及在奇数模块中价值的标量和自偶量张量，仅与电荷平等cp阳性费米子耦合。然后，fermion量子回路诱导通常的Yang-Mills-Scalar Lagrangian，张量的自dabdeev-Chizhov繁殖器，加上一个新的矢量量表量表和几个与超级曲线的几何定义相匹配的四分之一术语。应用于$ su（2/1）$ lie-kac简单的超级甲壳虫，该超级巨头自然地对所有基本粒子进行了分类，结果量子场理论是无异常的，相互作用由超级杀伤指标和超级巨人的结构常数控制。
We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form $A$, by a superalgebra-valued polyform $\widetilde{A}$ mixing exterior-forms of all degrees and satisfying the chiral self-duality condition $\widetilde{A} = {}^*\widetilde{A} \,χ$, where $χ$ denotes the superalgebra grading operator. This superconnection contains Yang-Mills vectors valued in the even Lie subalgebra, together with scalars and self-dual tensors valued in the odd module, all coupling only to the charge parity CP-positive Fermions. The Fermion quantum loops then induce the usual Yang-Mills-scalar Lagrangian, the self-dual Avdeev-Chizhov propagator of the tensors, plus a new vector-scalar-tensor vertex and several quartic terms which match the geometric definition of the supercurvature. Applied to the $SU(2/1)$ Lie-Kac simple superalgebra, which naturally classifies all the elementary particles, the resulting quantum field theory is anomaly-free and the interactions are governed by the super-Killing metric and by the structure constants of the superalgebra.
