The Zamolodchikov-Faddeev Algebra for AdS5 x S5 Superstring

Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija

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The Zamolodchikov-Faddeev Algebra for AdS5 x S5 Superstring

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Frolov, Sergey
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Zamaklar, Marija
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0612229v3.pdf
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jhep042007002.pdf
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Citation

Arutyunov, G., Frolov, S., & Zamaklar, M. (2007). The Zamolodchikov-Faddeev Algebra for AdS5 x S5 Superstring. Journal of High Energy Physics, 2007(4): 002.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-48E9-1

Abstract

We discuss the Zamolodchikov–Faddeev algebra for the superstring sigma-model on AdS5 × S5. We find the canonical fraktur sfraktur u(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.