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arXiv 1803.04423hep-th
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${\rm AdS}_3$上的无张力弦谱

Tensionless String Spectra on ${\rm AdS}_3$

Matthias R. Gaberdiel, Rajesh Gopakumar

摘要:

在AdS空间半径取最小值$(k=1)$的背景下,分析了具有纯NS-NS通量的${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{M}_4$上超弦的谱.对于$\mathbb{M}_4={\rm S}^3 \times {\rm S}^1$和$\mathbb{M}_4 = \mathbb{T}^4$,我们表明,有一组特殊的物理状态,从底部的频谱流连续表示,同意在精确的细节与单粒子谱的自由对称产品orbifold。对于${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$的情况,这依赖于理解$k=1$的世界片理论,我们对此提出了一个具体的建议。我们也评论这个惊人的结果的影响。

英文摘要:

The spectrum of superstrings on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{M}_4$ with pure NS-NS flux is analysed for the background where the radius of the AdS space takes the minimal value $(k=1)$. Both for $\mathbb{M}_4={\rm S}^3 \times {\rm S}^1$ and $\mathbb{M}_4 = \mathbb{T}^4$ we show that there is a special set of physical states, coming from the bottom of the spectrally flowed continuous representations, which agree in precise detail with the single particle spectrum of a free symmetric product orbifold. For the case of ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$ this relies on making sense of the world-sheet theory at $k=1$, for which we make a concrete proposal. We also comment on the implications of this striking result.

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