A local logarithmic conformal field theory

The local logarithmic conformal field theory corresponding to the triplet a lgebra at c = -2 is constructed. The constraints of locality and duality ar e explored in detail, and a consistent set of amplitudes is found. The spec trum of the corresponding theory is determined, and it is found to be modul ar invariant. This provides the first construction of a non-chiral rational logarithmic conformal field theory, establishing that such models can inde ed define bona fide conformal field theories. (C) 1999 Elsevier Science B.V .