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Although logarithmic conformal field theories (LCFTs) are known not tofactorise many previous findings have only been formulated on their chiralhalves. Making only mild and rather general assumptions on the structure of anchiral LCFT we deduce statements about its local non-chiral equivalent. Twomethods are presented how to construct local representations assubrepresentations of the tensor product of chiral and anti-chiral Jordancells. Furthermore we explore the assembly of generic non-chiral correlationfunctions from generic chiral and anti-chiral correlators. The constraint oflocality is studied and the generality of our method is discussed.

Towards the Construction of Local Logarithmic Conformal Field Theories