In this paper we compute the charge group for symmetry preserving D-branes on group manifolds for all simple, simply-connected, connected compact Lie groups G.

This article gives a complete account of the modular properties and Verlinde formula for conformal field theories based on the affine Kac-Moody algebra ŝl(2) at an arbitrary admissible level k.… (More)

The smallest deformation of the minimal model M(2,3) that can accommodate Cardy’s derivation of the percolation crossing probability is presented. It is shown that t is leads to a consistent… (More)

In this article, certain indecomposable Virasoro modules are studied. Specifically, the Virasoro modeL0 is assumed to be non-diagonalisable, possessing Jordan blo cks of rank two. Moreover, the… (More)

The fusion rings of Wess-Zumino-Witten models are reexamined. Attention is drawn to the difference between fusion rings over Z (which are often of greater importance in applications) and fusion… (More)

A natural construction of the logarithmic extension of the M (2, p) (chiral) minimal models is presented, which generalises our previous model [1] of percolation (p = 3). Its key aspect is the… (More)

Conformal field theory (CFT) has proven to be one of the richest and deepest subjects of modern theoretical and mathematical physics research, especially as regards statistical mechanics and string… (More)

One of the best understood families of logarithmic conformal field theories is that consisting of the (1, p) models (p = 2,3, . . .) of central charge c1,p = 1− 6(p−1) /p. This family includes the… (More)

The (p+,p−) singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge 1 − 6(p+ − p−)/p+p− and a single Virasoro primary field of conformal weight… (More)

The fractional level models are (logarithmic) conformal field theories associated with affine Kac-Moody (super)algebras at certain levels k ∈Q. They are particularly noteworthy because of several… (More)