This article aims to review a selection of central topics and examples in logarithmic
conformal field theory. It begins with the remarkable observation of Cardy that the horizontal …

Logarithmic conformal field theories (LCFT) play a key role, for instance, in the description of
critical geometrical problems (percolation, self-avoiding walks, etc), or of critical points in …

This article gives a complete account of the modular properties and Verlinde formula for
conformal field theories based on the affine Kac–Moody algebra sl ˆ (2) at an arbitrary …

We set up a strategy for studying large families of logarithmic conformal field theories by
using the enlarged symmetries and non-semisimple associative algebras appearing in their …

The scaling behavior near the transition between plateaus of the Integer Quantum Hall Effect
(IQHE) has traditionally been interpreted on the basis of a two-parameter renormalization …

Let $\mathcal {U} $ be a braided tensor category, typically unknown, complicated and in
particular non-semisimple. We characterize $\mathcal {U} $ under the assumption that there …

One of the best understood families of logarithmic onformal field theories consists of the (1,
p) models (p= 2, 3,...) of central charge c 1, p= 1− 6 (p− 1) 2/p. This family includes the …

We show that the Kazhdan–Lusztig category of level-finite-length modules with highest-
weight composition factors for the affine Lie superalgebra has vertex algebraic braided …

According to the work of Berkovits, Vafa and Witten, the non-linear sigma model on the
supergroup PSU (1, 1| 2) is the essential building block for string theory on AdS 3× S 3× T 4 …

A bstract In this work we launch a systematic theory of superconformal blocks for fourpoint
functions of arbitrary supermultiplets. Our results apply to a large class of superconformal …