Deformed superspace, = 1/2 supersymmetry & (non)renormalization theorems

Deformed superspace, = 1/2 supersymmetry & (non)renormalization theorems
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变形超空间,= 1/2 超对称

DOI:
10.1088/1126-6708/2003/07/067
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发表时间:
2003
影响因子:
5.4
通讯作者:
S. Rey
S. Rey
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Britto;Bo Feng;S. Rey

文献摘要

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我们考虑一个变形的超空间,其中坐标θ不反对易,但满足Clifford代数。以Wess-Zumino模型为原型,研究了变形超空间中手征超场=1/2超对称理论的性质。我们证明了新的(非)重整化定理:F-项是辐射修正的,与D-项是不可区分的,而-项不是重整化的。超对称真空是反全纯超势的临界点。在微扰理论中,真空能量对所有阶数都是零。我们用几个例子来说明这些结果。
We consider a deformed superspace in which the coordinates θ do not anticommute, but satisfy a Clifford algebra. We present results on the properties of = 1/2 supersymmetric theories of chiral superfields in deformed superspace, taking the Wess-Zumino model as the prototype. We prove new (non)renormalization theorems: the F-term is radiatively corrected and becomes indistinguishable from the D-term, while the -term is not renormalized. Supersymmetric vacua are critical points of the antiholomorphic superpotential. The vacuum energy is zero to all orders in perturbation theory. We illustrate these results with several examples.