11 citations · 11 across the 2 of their papers we have counts for
5 papers · 1 filter
Conformal field theories in random domains and stochastic Loewner evolutions
Denis Bernard
We review the recently developed relation between the traditional algebraic approach to conformal field theories and the more recent probabilistic approach based on stochastic Loew…
(Perturbed) Conformal Field Theory Applied To 2D Disordered Systems: An Introduction
Denis Bernard
We describe applications of (perturbed) conformal field theories to two-dimensional disordered systems. We present various methods of study~: (i) {\it A direct method} in which we…
The Yangian Deformation of the W-Algebras and and the Calogero-Sutherland model
Denis Bernard, Kazuhiro Hikami, Miki Wadati
The Yangian symmetry Y(su()) of the Calogero-Sutherland-Moser spin model is reconsidered. The Yangian generators are constructed from two non-commuting su()-loop algebras. Th…
Some Simple (Integrable) Models of Fractional Statistics
Denis Bernard
In the first part, we introduce the notion of fractional statistics in the sense of Haldane. We illustrate it on simple models related to anyon physics and to integrable models sol…
Quantum Symmetries in 2D Massive Field Theories
Denis Bernard
We review various aspects of (infinite) quantum group symmetries in 2D massive quantum field theories. We discuss how these symmetries can be used to exactly solve the integrable m…