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Quantum Spectral Curve for AdS$_3$/CFT$_2$: a proposal
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abstract
We conjecture the Quantum Spectral Curve equations for string theory on $AdS_3 \times S^3 \times T^4$ with RR charge and its CFT$_2$ dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the Asymptotic Bethe Ansatz equations for the massive sector of the theory, including the exact dressing phases found in the literature. The structure of the QSC shares many similarities with the previously known AdS$_5$ and AdS$_4$ cases, but contains a critical new feature - the branch cuts are no longer quadratic. Nevertheless, we show that much of the QSC analysis can be suitably generalised producing a self-consistent system of equations. While further tests are necessary, particularly outside the massive sector, the simplicity and self-consistency of our construction suggests the completeness of the QSC.
Forward citations
Cited by 8 Pith papers
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$AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes
The first curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude for four arbitrary KK modes is obtained as a single-valued polylogarithm worldsheet integral, yielding new anomalous dimensions and OPE data f...
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Exchange relations and crossing
Modified crossing equations for S-matrices with nontrivial braiding are proposed, and a new sign in the massless AdS3 crossing equation yields a simpler dressing factor.
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Deriving the $\text{AdS}_3\times\text{S}^3\times \text{T}^4$ Quantum Spectral Curve I: Y-system and discontinuity relations
The pure-RR AdS3×S3×T4 mirror TBA is reformulated as an extended Y-system with local discontinuity relations, and the TBA is recovered by inversion, establishing their equivalence.
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The Triplet Perturbation of the Symmetric Orbifold
The triplet perturbation of the T4 symmetric orbifold is shown to preserve the same integrable structure as the singlet and is identified with the self-dual R-R 2-form modulus in AdS3/CFT2.
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Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz
From the Quantum Spectral Curve, the authors derive the Asymptotic Baxter-Bethe Ansatz, which determines the asymptotic BFKL spectrum of Regge trajectories in N=4 SYM, reproduces known weak-coupling results, and suppo...
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Dressing Factors and Mirror Thermodynamic Bethe Ansatz for mixed-flux AdS3/CFT2
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.
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Boundary Bethe ansatz in massive $AdS_3$
The authors derive universal auxiliary Bethe equations and transfer-matrix eigenvalues for massive representations of the AdS3xS3xT4 integrable string with singlet and vector boundaries.
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Thermodynamics of integrable N=2 theories, squared
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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