TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation.
The classification of modular invariants revisited
The form factor program: a review and new results - the nested off-shell Bethe ansatz.
The geometry of Brownian surfaces.
The mathematics of fivebranes.
The Picard group of the moduli of higher spin curves.
Topics in statistical physics involving braids
We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.
Tree algebras: An algebraic axiomatization of intertwining vertex operators
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over . We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over .