A method to determine the operator content of perturbed conformal field theories

Physics – High Energy Physics – High Energy Physics - Theory

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12 pages. LaTeX. To appear in Phys. Lett. B.; error which caused the truncation of the file by the mailer has been removed and

Scientific paper

10.1016/0370-2693(94)01680-B

A method to determine the full structure of the space of local operators of massive integrable field theories, based on the form factor bootstrap approach is presented. This method is applied to the integrable perturbations of the Ising conformal point. It is found that the content of local operators can be expressed in terms of fermionic sum representations of the characters $\c(q)$ of the Virasoro irreducible representations of the minimal model $\M_{3,4}$. The space of operators factorises into chiral components as $Z=\sum \c(q) \c(\q)$, but with the relation $\q=q^{-1}$.

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