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

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dc.creatorJanik, Romuald A.
dc.date2006-03-06
dc.date2007-01-11
dc.date.accessioned2026-07-07T11:06:27Z
dc.date.available2026-07-07T11:06:27Z
dc.descriptionAn 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.
dc.description27 pages, no figures; v2: sign typo fixed in (24), everything else unchanged
dc.identifierhttps://arxiv.org/abs/hep-th/0603038
dc.identifierhttp://arxiv.org/abs/hep-th/0603038
dc.identifierPhys.Rev.D73:086006,2006
dc.identifierdoi:10.1103/PhysRevD.73.086006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189526
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleThe AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
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