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The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring

Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija


Gleb Arutyunov

Sergey Frolov


We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS(5) x S-5. We find the canonical su(2 vertical bar 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.


Arutyunov, G., Frolov, S., & Zamaklar, M. (2007). The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring. Journal of High Energy Physics, 2007(04),

Journal Article Type Article
Publication Date Apr 2, 2007
Deposit Date Aug 21, 2007
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2007
Issue 04
Keywords Integrable field theories, AdS-CFT correspondence, Exact S-matrix.