S-matrices and bi-linear sum rules of conserved charges in affine Toda field theories

Details S-matrices and bi-linear sum rules of conserved charges in affine Toda field theories S-matrices and bi-linear sum rules of conserved charges in affine Toda field theories

1998-05-28

arxiv.org/abs/hep-th/9805197v1

Phys.Lett. B451 (1999) 68-72

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX2e, no figures

Scientific paper

The exact quantum $S$-matrices and conserved charges are known for affine Toda field theories(ATFTs). In this note we report on a new type of bi-linear sum rules of conserved quantities derived from these exact $S$ matrices. They exist when there is a multiplicative identity among $S$-matrices of a particular ATFT. Our results are valid for simply laced as well as non-simply laced ATFTs. We also present a few explicit examples.

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