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Twisted algebra R-matrices and S-matrices for bn(1)b_n^{(1)} affine Toda solitons and their bound states

Abstract

We construct new Uq(a2n1(2))U_q(a^{(2)}_{2n-1}) and Uq(e6(2))U_q(e^{(2)}_6) invariant RR-matrices and comment on the general construction of RR-matrices for twisted algebras. We use the former to construct SS-matrices for bn(1)b^{(1)}_n affine Toda solitons and their bound states, identifying the lowest breathers with the bn(1)b^{(1)}_n particles.Comment: Latex, 24 pages. Various misprints corrected. New section added clarifying relationship between R-matrices and S-matrice

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