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

Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija

Abstract

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.

Citation

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), https://doi.org/10.1088/1126-6708/2007/04/002

• 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
• DOI: https://doi.org/10.1088/1126-6708/2007/04/002
• Keywords: Integrable field theories, AdS-CFT correspondence, Exact S-matrix.