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The Effectiveness of Relativistic Invariance in AdS${}_3$

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arxiv 1905.00757 v2 pith:P5U2LK7U submitted 2019-05-02 hep-th

Andrea Fontanella , Olof Ohlsson Sax , Bogdan Stefański , jr. , Alessandro Torrielli This is my paper · ORCID
classification hep-th
keywords relativistictheorydownfluxintegrableinvariancelimitns-ns
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abstract

We use relativistic invariance to investigate two aspects of integrable AdS${}_3$ string theory. Firstly, we write down the all-loop TBA equations for the massless sector of the theory with R-R flux, using the recently discovered hidden relativistic symmetry. Secondly, for the low-energy relativistic limit of the theory with NS-NS flux we write down the S matrix, dressing factors and TBA. We find that the integrable system coincides with a restriction to AdS${}_3$ of the relativistic q-deformed AdS${}_5$ theory. We also comment on the relativistic limit of the the small-$k$ NS-NS theory.

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Cited by 2 Pith papers

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

  1. Dressing Factors and Mirror Thermodynamic Bethe Ansatz for mixed-flux AdS3/CFT2

    hep-th 2025-07 conditional novelty 6.0 of 10

    Massless dressing factors for the mixed-flux AdS3xS3xT4 S-matrix are completed from the massive ones, checked against all symmetries and tree-level perturbation theory, and used to propose mirror TBA equations.

  2. Thermodynamics of integrable N=2 theories, squared

    hep-th 2025-02 conditional novelty 6.0 of 10

    The FPS model's massive sector has UV central charge c=6(1-1/k), its massless sectors contribute c=N_0+2, so doubling the supersymmetry does not double the central charge.

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