Deformations of superconformal theories
Deformations of superconformal theories
复制标题
超共形理论的变形
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
K. Intriligator
中科院分区：
文献类型：
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作者：
Clay Córdova;T. Dumitrescu;K. Intriligator
本文对d ≥ 3维酉超共形理论中可能的保超性相关、边缘和无关变形进行了分类。我们的方法仅依赖于对称性和么正性。因此，结果与模型无关，不需要拉格朗日描述。出现了两个统一的主题：第一，许多理论承认存在于多重态中的变形与守恒电流。这种变形可以导致超对称代数的中心和非中心电荷的修改。第二，许多具有足够数量超对称性的理论不承认相关的或边缘的变形，有些甚至不承认。分类是复杂的事实，短的超共形多重峰显示了丰富多样的零星现象，包括超对称变形，驻留在中间的多重峰。我们用不同维度的例子来说明我们的结果。特别是，我们解释了如何分类无关的超对称变形可以用来推导出已知的和新的约束模空间有效的行动。
A bstractWe classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in d ≥ 3 dimensions. Our method only relies on symmetries and unitarity. Hence, the results are model independent and do not require a Lagrangian description. Two unifying themes emerge: first, many theories admit deformations that reside in multiplets together with conserved currents. Such deformations can lead to modifications of the supersymmetry algebra by central and non-central charges. Second, many theories with a sufficient amount of supersymmetry do not admit relevant or marginal deformations, and some admit neither. The classification is complicated by the fact that short superconformal multiplets display a rich variety of sporadic phenomena, including supersymmetric deformations that reside in the middle of a multiplet. We illustrate our results with examples in diverse dimensions. In particular, we explain how the classification of irrelevant supersymmetric deformations can be used to derive known and new constraints on moduli-space effective actions.