Abstract
We propose a generalization of Coulomb gas approach to rational conformal field theories to higher numbers of bosons. This is achieved by letting the screening charges live on rational lattices and not just on lattices associated with Lie groups. The characters are constructed using a certain “Weyl” group associated with these rational lattices and they form finite-dimensional representations of the modular group. We further propose a method to construct correlation functions. We study in particular a few examples for the 2-boson case and obtain a bosonic realization of the spin- 4 3 parafermionic series. Several non-trivial checks are also made in order to show that our prescription for computing correlation functions indeed gives correct results.
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