形状不变性的BPS解释
A BPS Interpretation of Shape Invariance
摘要：
我们表明，形状不变性出现时，量子力学模型是不变的中心扩展超代数赋予一个额外的对称性生成器，我们称之为移位算子。形状不变性的熟悉的数学和物理结果，然后从BPS结构产生与此移位算子。移位算子还确保在这样的模型的能级和BPS饱和态的能量之间存在一一对应。因此，这些发现提供了一个更全面的代数设置理解形状不变性。
英文摘要：
We show that shape invariance appears when a quantum mechanical model is invariant under a centrally extended superalgebra endowed with an additional symmetry generator, which we dub the shift operator. The familiar mathematical and physical results of shape invariance then arise from the BPS structure associated with this shift operator. The shift operator also ensures that there is a one-to-one correspondence between the energy levels of such a model and the energies of the BPS-saturating states. These findings thus provide a more comprehensive algebraic setting for understanding shape invariance.
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