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- Jean-Bernard Zuber
- Electr. J. Comb.
- 2004

New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures are based on theâ€¦ (More)

This article reviews some recent progress in our understanding of the structure of Rational Conformal Field Theories, based on ideas that originate for a large part in the work of A. Ocneanu. Theâ€¦ (More)

- Paul Zinn-Justin, Jean-Bernard Zuber
- Discrete Mathematics
- 2002

Using results on the counting of planar Feynman diagrams derived in matrix models, recent results of Sundberg and Thistlethwaite on the counting of alternating tangles and links are reproduced.

- Philippe Di Francesco, Paul Zinn-Justin, Jean-Bernard Zuber
- Electr. J. Comb.
- 2004

It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a Ã— b Ã— c. In this note,â€¦ (More)

Graphs which generalize the simple or affine Dynkin diagrams are introduced. Each diagram defines a bilinear form on a root system and thus a reflection group. We present some properties of theseâ€¦ (More)

- Philippe Di Francesco, Paul ZINN-JUSTIN, Jean-Bernard Zuber
- 2006

Lâ€™accÃ¨s aux articles de la revue Â« Annales de lâ€™institut Fourier Â» (http://aif.cedram.org/), implique lâ€™accord avec les conditions gÃ©nÃ©rales dâ€™utilisation (http://aif.cedram.org/legal/). Touteâ€¦ (More)

The large N limit of some matrix integrals over the orthogonal group O(N) and its relation with those pertaining to the unitary group U(N) are reexamined. It is proved that limNâ†’âˆž N âˆ’2 âˆ« DO expN Trâ€¦ (More)

- Andrea Cappelli, Jean-Bernard Zuber
- Scholarpedia
- 2010

The ADE classification scheme is encountered in many areas of mathematics, most notably in the study of Lie algebras. Here such a scheme is shown to describe families of two-dimensional conformalâ€¦ (More)

- Robert COQUEREAUX, Jean-Bernard Zuber
- 2013

Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data â€“ S, T and fusion matrices â€“ are computed explicitly, and illustrated by means of fusion graphs.â€¦ (More)

- Robert Coquereaux, Jean-Bernard Zuber
- 2016

Three aspects of the SU(3) fusion coefficients are revisited: the generating polynomials of fusion coefficients are written explicitly; some curious identities generalizing the classicalâ€¦ (More)