Working in the dense loop representation, we use the planar Temperley-Lieb algebra to build integrable lattice models called logarithmic minimal models LM(p, p′). Specifically, we construct… (More)

The countably infinite number of Virasoro representations of the logarithmic minimal model LM(p, p′) can be reorganized into a finite number of W-representations with respect to the extended Virasoro… (More)

In this paper we consider Wakimoto free field realizations of simple affine Lie algebras, a subject already much studied. We present three new sets of results. (i) Based on quantizing differential… (More)

We present explicit conjectures for the chiral fusion algebras of the logarithmic minimal models LM(p, p ′) considering Virasoro representations with no enlarged or extended symmetry algebra. The… (More)

We present a new and asymmetric N = 4 superconformal algebra for arbitrary central charge, thus completing our recent work on its classical analogue with vanishing central charge. Besides the… (More)

We present the first polytope volume formulas for the multiplicities of affine fusion, the fusion in Wess-Zumino-Witten conformal field theories, for example. Thus, we characterise fusion… (More)

Penicillin kills susceptible bacteria by specifically inhibiting the transpeptidase that catalyzes the final step in cell wall biosynthesis, the cross-linking of peptidoglycan. It was hypothesized… (More)

Two-dimensional critical percolation is the member LM(2, 3) of the infinite series of Yang-Baxter integrable logarithmic minimal models LM(p, p′). We consider the continuum scaling limit of this… (More)

We present an explicit conjecture for the chiral fusion algebra of critical percolation considering Virasoro representations with no enlarged or extended symmetry algebra. The representations we take… (More)

We consider the logarithmic minimal models LM(1, p) as ‘rational’ logarithmic conformal field theories with extended W symmetry. To make contact with the extended picture starting from the lattice,… (More)