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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)

In this thesis steps are taken in the direction of formulating non-critical strings in the framework of the $G/G$ approach. A major part of the thesis is concerned with conformal field theory based… (More)

Working in the Virasoro picture, it is argued that the logarithmic minimal models LM(p, p) = LM(p, p; 1) can be extended to an infinite hierarchy of logarithmic conformal field theories LM(p, p;n) at… (More)

The higher fusion level logarithmic minimal models LM(P,P ′;n) have recently been constructed as the diagonal GKO cosets (A (1) 1 )k ⊕ (A (1) 1 )n/(A (1) 1 )k+n where n ≥ 1 is an integer fusion level… (More)

A lattice model of critical dense polymers is solved exactly on a cylinder with finite circumference. The model is the first member LM(1, 2) of the Yang-Baxter integrable series of logarithmic… (More)

For each pair of positive integers r,s, there is a so-called Kac representation (r,s) associated with a Yang-Baxter integrable boundary condition in the lattice approach to the logarithmic minimal… (More)

Virasoro Kac modules were initially introduced indirectly as representations whose characters arise in the continuum scaling limits of certain transfer matrices in logarithmic minimal models,… (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)

Solvable critical dense polymers is a Yang-Baxter integrable model of polymers on the square lattice. It is the first member LM(1, 2) of the family of logarithmic minimal models LM(p, p). The… (More)

A new spin-chain representation of the Temperley-Lieb algebra TLn(β = 0) is introduced and related to the dimer model. Unlike the usual XXZ spin-chain representations of dimension 2n, this dimer… (More)