The Zamolodchikov-Faddeev algebra for AdS5 x S5 superstring

被引:134
作者
Arutyunova, Gleb [1 ]
Frolov, Sergey
Zamaklar, Marija
机构
[1] Univ Utrecht, Inst Theoret Phys, NL-3508 TD Utrecht, Netherlands
[2] Univ Utrecht, Spinoza Inst, NL-3508 TD Utrecht, Netherlands
[3] Univ Dublin Trinity Coll, Sch Math, Dublin 2, Ireland
[4] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany
关键词
integrable field theories; AdS-CFT correspondence; exact S-matrix;
D O I
10.1088/1126-6708/2007/04/002
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
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页数:38
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