The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry

Details The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry

2006-03-06

arxiv.org/abs/hep-th/0603038v2

Phys.Rev.D73:086006,2006

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, no figures; v2: sign typo fixed in (24), everything else unchanged

Scientific paper

10.1103/PhysRevD.73.086006

An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS_5xS^5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due to the lack of conventional relativistic invariance, in this case its determination remained an open problem. In this paper we propose an algebraic way to implement crossing relations for the AdS_5xS^5 superstring worldsheet S-matrix. We base our construction on a Hopf-algebraic formulation of crossing in terms of the antipode and introduce generalized rapidities living on the universal cover of the parameter space which is constructed through an auxillary, coupling constant dependent, elliptic curve. We determine the crossing transformation and write functional equations for the scalar factor of the S-matrix in the generalized rapidity plane.

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