The perturbations $φ_{2,1}$ and $φ_{1,5}$ of the minimal models $M(p,p')$ and the trinomial analogue of Bailey's lemma

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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34 pages, 15 figures, harvmac. References added and the TBA conjecture refined

Scientific paper

10.1016/S0550-3213(98)00167-9

We derive the fermionic polynomial generalizations of the characters of the integrable perturbations $\phi_{2,1}$ and $\phi_{1,5}$ of the general minimal $M(p,p')$ conformal field theory by use of the recently discovered trinomial analogue of Bailey's lemma. For $\phi_{2,1}$ perturbations results are given for all models with $2p>p'$ and for $\phi_{1,5}$ perturbations results for all models with ${p'\over 3}

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