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

Abstract

The spectrum of superstrings on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{M}}_4$ 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 ${\mathbb{M}}_4={\mathrm{S}}^3\times {\mathrm{S}}^1$ 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 ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ 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.

20 pages, LaTeX

References in corpus (2)

• Higher Spins & Strings
• Counting Giant Gravitons in AdS_3

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