String States on AdS_3 x S^3 from the Supergroup

Abstract

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.

38 pages, LaTeX; v2: explanations and references added; v3: typos corrected

References in corpus (7)

• Comments On String Theory
• Matching of correlators in AdS_3/CFT_2
• On the SU(2|1) WZW model and its statistical mechanics applications
• Exact N=4 correlators of AdS(3)/CFT(2)
• Structure constants of the OSP(1|2) WZNW model
• Massless particles on supergroups and AdS3 x S3 supergravity
• Tensor products of psl(2|2) representations

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• The free field realisation of the BVW string
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
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• DDF operators in the Hybrid Formalism
• Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6)
• Refined Partition Functions for Open Superstrings with 4, 8 and 16 Supercharges
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