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arXiv · hep-th/9805197

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

S. Pratik Khastgir
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Abstract

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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S. Pratik Khastgir. 1998-05-28. S-matrices and bi-linear sum rules of conserved charges in affine Toda field theories. https://doi.org/10.1016/s0370-2693(99)00211-7

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