Exact S-Matrices with Affine Quantum Group Symmetry

Details Exact S-Matrices with Affine Quantum Group Symmetry Exact S-Matrices with Affine Quantum Group Symmetry

1995-03-12

arxiv.org/abs/hep-th/9503079v1

Nucl.Phys. B451 (1995) 445-468

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 21 pages

Scientific paper

10.1016/0550-3213(95)00336-Q

We show how to construct the exact factorized S-matrices of 1+1 dimensional quantum field theories whose symmetry charges generate a quantum affine algebra. Quantum affine Toda theories are examples of such theories. We take into account that the Lorentz spins of the symmetry charges determine the gradation of the quantum affine algebras. This gives the S-matrices a non-rigid pole structure. It depends on a kind of ``quantum'' dual Coxeter number which will therefore also determine the quantum mass ratios in these theories. As an example we explicitly construct S-matrices with $U_q(c_n^{(1)})$ symmetry.

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