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arXiv 1208.0345hep-th
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AdS_3 × S^3超群上的弦态

String States on AdS_3 x S^3 from the Supergroup

Sebastian Gerigk

摘要:

在AdS_3 × S^3上的弦论的混合表述中,确定了第一质量能级上与紧化无关的物理谱。我们发现这些态在李超代数psl(2)的表示中变换|2)并在PSL(2)的上下文中呈现它们的上同调特征|2)WZW模型。我们猜想,一个类似的上同调描述的物理状态也存在于更高的质量水平,并给出部分证据,这通过比较我们的结果RNS弦谱。

英文摘要:

In the hybrid formulation of string theory on AdS_3 x S^3, the compactification-independent physical spectrum at the first massive level is determined. We find that these states transform in representations of the Lie superalgebra psl(2|2) and present a cohomological characterisation of them within the context of the PSL(2|2) WZW model. We conjecture that a similar cohomological description of the physical states also exists at higher mass levels and give partial evidence for this by comparing our results to the RNS string spectrum.

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