Working in the dense loop representation, we use the planar Temperley–Lieb algebra to
build integrable lattice models called logarithmic minimal models. Specifically, we construct …

Nonsemisimple Fusion Algebras and the Verlinde Formula Page 1 Digital Object Identifier (DOI)
10.1007/s00220-004-1058-y Commun. Math. Phys. 247, 713–742 (2004) Communications in …

The analogue of the charge-conjugation modular invariant for rational logarithmic conformal
field theories is constructed. This is done by reconstructing the bulk spectrum from a simple …

The logarithmic triplet model at c= 0 is studied. In particular, we determine the fusion rules of
the irreducible representations from first principles and show that there exists a finite set of …

This is the first in a series of papers where we study logarithmic intertwining operators for
various vertex subalgebras of Heisenberg and lattice vertex algebras. In this paper we …

A braided monoidal category for free super-bosons | Journal of Mathematical Physics | AIP
Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …

We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with
open and closed boundary conditions. We show that the operator effecting the change from …

Abstract We introduce (p− 1) pseudocharacters in the space of (1, p) model vacuum torus
amplitudes to complete the distinguished basis in the 2p-dimensional fusion algebra to a …

We discuss the relationship between the phase diagram of the Q= 0 state Potts model, the
arboreal gas model, and the supersphere sigma model S0, 2= OSP (1/2)/OSP (0/2). We …

In this note we prove a correspondence between the Wess–Zumino–Novikov–Witten model
of the Lie supergroup GL (1| 1) and a free model consisting of two scalars and a pair of …