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

Gleb Arutyunov·Sergey Frolov·Marija Zamaklar
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Abstract

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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Gleb Arutyunov, Sergey Frolov, Marija Zamaklar. 2007-03-20. The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F002

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