4 papers
GUE-corners process in two-periodic Aztec diamonds
Nicolas Robert, Philippe Ruelle
Links between uniform Aztec diamonds and random matrices are numerous in the literature. In particular, it has been established that, after appropriate rescaling, the probability d…
On Discrete Symmetries in su(2) and su(3) Affine Theories and Related Graphs
S. Lienart, P. Ruelle, O. Verhoeven
We classify the possible finite symmetries of conformal field theories with an affine Lie algebra su(2) and su(3), and discuss the results from the perspective of the graphs associ…
Discrete symmetries of unitary minimal conformal theories
P. Ruelle, O. Verhoeven
We classify the possible discrete (finite) symmetries of two--dimensional critical models described by unitary minimal conformally invariant theories. We find that all but six mode…
Implications of an arithmetical symmetry of the commutant for modular invariants
Ph Ruelle, E Thiran, J Weyers
We point out the existence of an arithmetical symmetry for the commutant of the modular matrices S and T. This symmetry holds for all affine simple Lie algebras at all levels and i…