The worldsheet $AdS_5 times S^5$ S-matrix and crossing symmetry
In conventional relativistic integrable field theories the requirements of crossing symmetry and unitarity essentially determine completely the S-matrix. In this talk I describe an algebraic way to implement crossing relations for the $AdS_5 times S^5$ superstring worldsheet S-matrix. The approach is based on a Hopf-algebraic formulation of crossing in terms of the antipode and a construction of “generalized rapidities” using an auxillary elliptic curve. The result is a derivation of a set of functional equations for the scalar factor of the S-matrix.
Krakow
Speaker
-
Romuald JANIK
