Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective

Abstract

We explore the quantisation of the tachyonic type 0B superstring and the non-tachyonic $\text{Spin}(16)\times \text{Spin}(16)⋊{\mathbb{Z}}_2$ heterotic string on AdS${}_3\times S^3\times T^4$ and AdS${}_3\times S^3\times S^3\times S^1$ backgrounds. Adapting the analysis for the supersymmetric and bosonic string theories to these set-ups, we provide a world-sheet description for a generic level of the $\text{SL}(2,\mathbb{R})$ WZW model, and we read the spectrum through the associated partition functions. Focusing on the low-energy theory, we show that the $\text{Spin}(16)\times \text{Spin}(16)⋊{\mathbb{Z}}_2$ heterotic string on both backgrounds accommodates non-trivial Wilson lines that are responsible for the appearance of tachyonic regions in the classical moduli space, hence jeopardising the stability of the vacuum. We show this with a concrete example on the AdS${}_3\times S^3\times S^3\times S^1$ space and provide general formulas for a systematic analysis of the classical moduli space.

48 pages, 2 figures, corrected misprints, paper version

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Cited by in corpus (1)

• Non-supersymmetric heterotic strings on $Ad{S}_4\times S^3\times S^3$