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

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

2006-12-20

arxiv.org/abs/hep-th/0612229v3

JHEP 0704:002,2007

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, v2: derivation of symmetries from the S-matrix and the Hopf algebra interpretation added, typos corrected, reference

Scientific paper

10.1088/1126-6708/2007/04/002

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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