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String theory on $\boldsymbol{\text{AdS}_{\mathbf{3}}}$ and the symmetric orbifold of Liouville theory

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arxiv 1903.00421 v1 pith:XZI2B7OR submitted 2019-03-01 hep-th

Lorenz Eberhardt , Matthias R. Gaberdiel This is my paper · ORCID
classification hep-th
keywords theorytimesfluxliouvillemathbborbifoldstringsymmetric
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

For string theory on AdS$_3$ with pure NS-NS flux a complete set of DDF operators is constructed, from which one can read off the symmetry algebra of the spacetime CFT. Together with an analysis of the spacetime spectrum, this allows us to show that the CFT dual of superstring theory on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$ for generic NS-NS flux is the symmetric orbifold of $({\cal N}=4$ Liouville theory$)\times \mathbb{T}^4$. For the case of minimal flux ($k=1$), the Liouville factor disappears, and we just obtain the symmetric orbifold of $\mathbb{T}^4$, thereby giving further support to a previous claim. We also show that a similar analysis can be done for bosonic string theory on ${\rm AdS}_3 \times X$.

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Cited by 6 Pith papers

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

  1. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.

  2. Covering space maps for $n$-point functions with three long twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.

  3. On the $AdS_3$ Virasoro-Shapiro Amplitude

    hep-th 2024-12 conditional novelty 7.0 of 10

    Tree-level four-tachyon amplitudes on AdS3 with NSNS flux expand around flat space into Virasoro-Shapiro integrals dressed with single-valued multiple polylogarithms, to all orders.

  4. 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.

  5. AdS$_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry

    hep-th 2019-08 conditional novelty 7.0 of 10

    Two new classes of AdS3 x S2 solutions in massive IIA with small N=(4,0) supersymmetry are derived, along with their T-dual IIB counterparts.

  6. 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.

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