The Bound State S-Matrix for AdS5 x S5 Superstring

Details The Bound State S-Matrix for AdS5 x S5 Superstring The Bound State S-Matrix for AdS5 x S5 Superstring

2009-02-02

arxiv.org/abs/0902.0183v2

Nucl.Phys.B819:319-350,2009

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 2 figures, v2: typos corrected

Scientific paper

10.1016/j.nuclphysb.2009.03.024

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 x S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations. The basic analytic structure supporting the S-matrix entries turns out to be the hypergeometric function 4F3. We show that for particular bound state numbers it reproduces all the scattering matrices previously obtained in the literature. Our findings should be relevant for the TBA and Luescher approaches to the finite-size spectral problem. They also shed some light on the construction of the universal R-matrix for the centrally-extended psu(2|2) superalgebra.

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