论文标题

超对称性手性理论在有理时空维度上的重新归一化

Renormalization of supersymmetric chiral theories in rational spacetime dimensions

论文作者

Gracey, J. A.

论文摘要

我们用标量性手性超级场地重新归一化的模型,具有奇特的超级电位,可与扰动理论中的几个阶。立方WESS-Zumino模型的这些扩展是在合理的时空维度上可重新分配的。当赋予$ o(n)$对称性时,表明它们具有与非supermmetric对应物相同的属性,因为在特定的固定点上,有一个紧急的$ osp(1 | n-1)$对称性,其中$ n $是超级元素的力量。这在循环顺序范围内显示了,超出了平行非苏匹配理论中建立的循环顺序。

We renormalize models with scalar chiral superfields with an odd superpotential to several orders in perturbation theory. These extensions of the cubic Wess-Zumino model are renormalizable in spacetime dimensions which are rational. When endowed with an $O(N)$ symmetry it is shown that they share the same property as their non-supersymmetric counterparts in that at a particular fixed point there is an emergent $OSp(1|n-1)$ symmetry, where $n$ is the power of the superpotential. This is shown at a loop order beyond that for which it was established in the parallel non-supersymmetric theory.

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