Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure

Details Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure

2002-08-15

arxiv.org/abs/hep-th/0208111v2

Nucl.Phys. B661 (2003) 425-463

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, many figures. Latex 2e, uses amssymb,cite,graphicx. v2: typos corrected and references added; discussion of the link

Scientific paper

10.1016/S0550-3213(03)00181-0

We discuss the q-state Potts models for q<=4, in the scaling regimes close to their critical or tricritical points. Starting from the kink S-matrix elements proposed by Chim and Zamolodchikov, the bootstrap is closed for the scaling regions of all critical points, and for the tricritical points when 4>q>=2. We also note a curious appearance of the extended last line of Freudenthal's magic square in connection with the Potts models.

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