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

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.

preprint2002arXivOpen access
Patrick DoreyAndrew PocklingtonRoberto Tateo
cond-matmath-phmath.QAmath.MPhep-th
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Patrick DoreyAndrew PocklingtonRoberto Tateo

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