Abstract

We analyze the evolution of the particle spectrum of the tricritical Ising model by varyingthe couplings of the energy and vacancy density fields. The particle content changes fromthe spectrum of a supersymmetric theory (either of an exact or a spontaneously brokensupersymmetric theory) to the spectrum of seven particles related to the underlyingE7 structure. In the low temperature phase some of these excitations are topologically chargedparticles that are stable under an arbitrary variation of the parameters. The highand low temperature phases of the model are related by duality. In some regionsof the two couplings there are also present false vacua and sequences of boundstates. In order to study the non-integrable features of this model we employ theform factor perturbation theory and the truncated conformal space approach.

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