The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
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.
Keywords
Cite
@article{arxiv.hep-th/0612229,
title = {The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring},
author = {Gleb Arutyunov and Sergey Frolov and Marija Zamaklar},
journal= {arXiv preprint arXiv:hep-th/0612229},
year = {2010}
}
Comments
40 pages, v2: derivation of symmetries from the S-matrix and the Hopf algebra interpretation added, typos corrected, references added