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Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
Abstract:
The S-matrix of the AdS5 x S5 string theory is a tensor product of two
centrally extended su(2|2) S-matrices, each of which is related to the R-matrix
of the Hubbard model. The R-matrix of the Hubbard model was first found by
Shastry, who ingeniously exploited the fact that, for zero coupling, the
Hubbard model can be decomposed into two XX models. In this article, we review
and clarify this construction from the AdS/CFT perspective and investigate the
implications this has for the AdS5 x S5 S-matrix.