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

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arxiv 2411.16848 v1 pith:NS25PSYX submitted 2024-11-25 hep-th

classification hep-th
keywords timesbosonsanalogouscompactcorrespondsdescribesdescriptiondirection
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose that string theory on ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ with $\textit{two}$ units of NS-NS flux through each of the two $3$-spheres is exactly dual to the symmetric orbifold of $2$ bosons and $8$ free fermions. Here, one of the two bosons describes the compact ${\rm S}^1$, while the other one corresponds to the radial (non-compact) direction of ${\rm AdS}_3$. Unlike the analogous situation for ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$, the description makes sense both in the NS-R as well as the hybrid formulation, and we explain the duality in both frameworks.

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Cited by 5 Pith papers

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

  1. 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.

  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 string theory on (deformed) $AdS_3\times \mathbb{T}^3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    For string theory on AdS3 at k=1 the paper builds winding-one worldsheet operators that reproduce the chiral algebra of the boundary symmetric-product theory R × T3, and derives T̄T-deformed two-point functions for cu...

  4. Boundary Bethe ansatz in massive $AdS_3$

    hep-th 2025-06 conditional novelty 6.0 of 10

    The authors derive universal auxiliary Bethe equations and transfer-matrix eigenvalues for massive representations of the AdS3xS3xT4 integrable string with singlet and vector boundaries.

  5. Strings and near-extremal black holes in theories with large $\mathcal{N}=4$ superconformal symmetry

    hep-th 2025-05 conditional novelty 6.0 of 10

    A one-loop worldsheet computation on AdS3×S3×S3×S1 recovers the supergravity spectrum and boundary currents, yields a temperature-dependent BPS index for near-extremal BTZ black holes, and suggests non-unique worldshe...

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