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Higher spins on AdS$_{3}$ from the worldsheet

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arxiv 1704.08667 v1 pith:ZL7CPU5W submitted 2017-04-27 hep-th

Kevin Ferreira , Matthias R. Gaberdiel , Juan I. Jottar This is my paper · ORCID
classification hep-th
keywords higherspintheorycontainsstringbackgroundmasslessstates
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

It was recently shown that the CFT dual of string theory on ${\rm AdS}_3 \times {\rm S}^3 \times T^4$, the symmetric orbifold of $T^4$, contains a closed higher spin subsector. Via holography, this makes precise the sense in which tensionless string theory on this background contains a Vasiliev higher spin theory. In this paper we study this phenomenon directly from the worldsheet. Using the WZW description of the background with pure NS-NS flux, we identify the states that make up the leading Regge trajectory and show that they fit into the even spin ${\cal N}=4$ Vasiliev higher spin theory. We also show that these higher spin states do not become massless, except for the somewhat singular case of level $k=1$ where the theory contains a stringy tower of massless higher spin fields coming from the long string sector.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$

    hep-th 2024-11 conditional novelty 7.0 of 10

    String theory on AdS3×S3×S3×S1 with two units of flux on each sphere is conjectured to equal the symmetric orbifold of two bosons and eight free fermions.

  2. Non-supersymmetric strings on AdS$_3$: a world-sheet perspective

    hep-th 2025-12 conditional novelty 6.0 of 10

    On AdS3×S3×S3×S1, a Wilson-line deformation of the Spin(16)×Spin(16)⋊Z2 heterotic string produces a level-matched tachyon, so the classical moduli space contains unstable regions.

  3. On the CFT dual of superstring on AdS$_3$

    hep-th 2025-04 conditional novelty 6.0 of 10

    This paper verifies, at second order in conformal perturbation theory, that the proposed marginal deformation of a symmetric orbifold CFT reproduces the residues of three-point superstring correlators on AdS3 x S3 x T4.

  4. The AdS$_3\times $S$^3$ Virasoro-Shapiro amplitude with RR flux

    hep-th 2024-12 conditional novelty 6.0 of 10

    The first AdS curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude is fixed by matching an SVMPL worldsheet ansatz to the CFT block expansion, yielding new strong-coupling CFT data.

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