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VOLUME 83 | ISSUE 4 | PAGE 206
On scaling fields in ZN Ising models
V. A. Fateev+*, V. V. Postnikov^\triangle, Y. P. Pugai+
+L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
* Laboratoire de Physique Théorique et Astroparticules, Université Montpellier II, 34095 Montpellier, France
^\triangle Sochi's branch of People Friendship University, 354348 Sochi, Russia

PACS: 74.50.+r, 74.80.Fp
We study the space of scaling fields in the ZN symmetric models with the factorized scattering and propose simplest algebraic relations between form factors induced by the action of deformed parafermionic currents. The construction gives a new free field representation for form factors of perturbed Virasoro algebra primary fields, which are parafermionic algebra descendants. We find exact vacuum expectation values of physically important fields and study correlation functions of order and disorder fields in the form factor and conformal field theories perturbation approaches.

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