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The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring

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arxiv hep-th/0612229 v3 pith:WMN2M3VW submitted 2006-12-20 hep-th nlin.SI

Gleb Arutyunov , Sergey Frolov , Marija Zamaklar This is my paper · ORCID
classification hep-thnlin.SI
keywords algebragaugeobtaineds-matrixstandardsuperstringyang-baxterzamolodchikov-faddeev
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS_5 x S^5. We find the canonical su(2|2)^2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave expansion matches exactly the leading order term recently obtained by the direct perturbative computation. We also show that the S-matrix obtained by Beisert in the gauge theory framework does not satisfy the standard Yang-Baxter equation, and, as a consequence, the corresponding ZF algebra is twisted. The S-matrices in gauge and string theories however are physically equivalent and related by a non-local transformation of the basis states which is explicitly constructed.

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Cited by 3 Pith papers

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  1. On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.

  2. Structure Constants of a Single Trace Operator and Determinant Operators from Hexagon

    hep-th 2019-06 conditional novelty 7.0 of 10

    Conjecture that the three-point structure constant of one single-trace and two determinant operators in N=4 SYM is given by glued hexagon form factors, reducing to partition sums with reflections at weak coupling and ...

  3. Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$

    hep-th 2024-12 conditional novelty 6.0 of 10

    In the light-cone gauge-fixed Jordanian deformation of AdS5×S5, on-shell cubic vertices produce nonzero 1-to-2 and 2-to-1 scattering processes, indicating particle production.

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