We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where we excite one copy of the seed CFT with a left-moving superconformal descendant. When the theory is deformed away from this region of moduli space these states can ‘lift’, despite being BPS at the orbifold point. For descendants formed from the supersymmetry \({G}_{\dot{A},-s}^{\alpha }\) and R-symmetry \({J}_{-n}^{a}\) current modes we obtain explicit results for the expectation value of the lifts for various subfamilies of states at second order in the deformation parameter. A smooth ∼ \(\sqrt{h}\) behaviour is observed in the lifts of these subfamilies for large dimensions. Using covering space Ward identities we then find a compact expression for the lift of the above \({J}_{-n}^{a}\) descendant states valid for arbitrary dimensions. In the large-dimension limit this lift scales as ∼ \(\sqrt{h}\), strengthening the conjecture that this is a universal property of the lift of D1-D5-P states. We observe that the lift is not simply a function of the total dimension, but depends on how the descendant level is partitioned amongst modes.

我们考虑 D1-D5 Orbifold CFT 的未扭曲扇区中的 D1-D5-P 状态，其中我们用左移超共形后代激发种子 CFT 的一个副本。当理论变形远离模空间的这个区域时，这些状态可以“提升”，尽管 BPS 位于轨道点。对于由超对称\({G}_{\dot{A},-s}^{\alpha }\)和 R 对称\({J}_{-n}^{a}\)当前形成的后代我们获得了变形参数二阶状态的各个子族的升力期望值的明确结果。在大尺寸的这些子族的升力中观察到平滑的 ∼ \(\sqrt{h}\)行为。然后，使用覆盖空间 Ward 恒等式，我们找到了上述\({J}_{-n}^{a}\)后代状态升力的紧凑表达式，该表达式对于任意维度都有效。在大维极限下，该升力缩放为 ∼ \(\sqrt{h}\)，强化了这样的猜想：这是 D1-D5-P 态升力的普遍性质。我们观察到，升力不仅仅是总维度的函数，还取决于后代级别在模式之间的划分方式。