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We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the… (More)

These are notes of my lectures held at the first School & Workshop on Logarithmic Conformal Field Theory and its Applications , September 2001 in Tehran, Iran. These notes cover only selected parts… (More)

In this paper we present explicit results for the fusion of irreducible and higher rank representations in two logarithmically conformal models, the augmented c2,3 = 0 model as well as the augmented… (More)

Null vectors are generalized to the case of indecomposable representations which are one of the main features of logarithmic conformal field theories. This is done by developing a compact formalism… (More)

We have generalized recent results on the integer quantum Hall effect constructing explicitly a W1+∞ for the fractional quantum Hall effect such that the negative modes annihilate the Laughlin wave… (More)

We study the possibility of extending ghost systems with higher spin to a logarithmic conformal field theory. In particular we are interested in c = −26 which turns out to behave very differently to… (More)

For the example of the logarithmic triplet theory at c = −2 the chiral vacuum torus amplitudes are analysed. It is found that the space of these torus amplitudes is spanned by the characters of the… (More)

We prove the existence and associativity of the nonmeromorphic operator product expansion for an infinite family of vertex operator algebras, the triplet W-algebras, using results from P(z)-tensor… (More)

Two different approaches to calculate the fusion rules of the cp,1 series of logarithmic conformal field theories are discussed. Both are based on the modular transformation properties of a basis of… (More)