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The AdS5 × S 5 superstring worldsheet S-matrix and crossing symmetry (2008)
| Citations: | 227 - 6 self |
BibTeX
@MISC{Janik08theads5,
author = {Romuald A. Janik},
title = {The AdS5 × S 5 superstring worldsheet S-matrix and crossing symmetry },
year = {2008}
}
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Abstract
An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS5 × S 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 AdS5 ×S 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.
Keyphrases
worldsheet s-matrix scalar factor generalized rapidity plane parameter space elliptic curve open problem algebraic way hopf-algebraic formulation unknown scalar factor crossing transformation conventional relativistic invariance write functional equation yang-baxter equation universal cover constant dependent generalized rapidity
