The Zamolodchikov-Faddeev Algebra for AdS5 x S5 Superstring

By G. Arutyunov, S. Frolov, M. Zamaklar. 2006

286 citations recorded by the source corpus.

We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS5 ×S 5 . We find the canonical su(2|2) 2 invariant S-matrix satisfy- ing the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave expansion matches exactly the leading order term recently obtained by the direct per- turbative 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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/82c120604d2433526c5300f42b6f8a12461f2ed0

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Citations in the corpus

The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, background): “r the one-particle representation, but is instrumental for deﬁning the two-particle representation, i.e. in order to deﬁne a non-trivial coproduct [31], similarly to what happens for AdS5 ×S5 strings [54]. Let us note that while the excitations in the left and right modules have kinematic properties”
A dynamic $ su{(1|1)^2} $ S-matrix for AdS3/CFT2 (2012, background): “Our notations differ slightly from the ones of [26] as our S-matrix permutes the momenta of the magnons.”
On string S-matrix, bound states and TBA (2007, methodology): “This freedom was partially fixed in [47] by requiring the string S-matrix to satisfy the standard Yang-Baxter equation.”
N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations (2008, background): “Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase.”
Four-loop perturbative Konishi from strings and finite size effects for multiparticle states (2008, background): “In the above formula there should also be ‘string frame’ phase factors (see [50, 49]).”
S-matrix for strings on η-deformed AdS5 × S5 (2013, background): “5 of [25] for the corresponding matrix in the undeformed case.”