25 pages, 5 tables, 9 figures. Version 2: updated references. Typos corrected. Several proofs added. Examples of ADE and generalized ADE trigonometric identities have been removed to shorten the paper.After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provide tables of dimensions describing the semisimple and co-semisimple blocks of the corresponding weak bialgebras (quantum groupoids), tables of quantum dimensions and orders, and tables describing induction - restriction. For reasons of size, the sl(3) tables of induction are only given for theories with self-fusion (existence of a monoidal structure)
The fusion rules and braiding statistics of anyons in $(2+1)$D fermionic topological orders are char...
23 pages, 12 figures, LateX. To appear in MATHPHYS ODYSSEY 2001 --Integrable Models and Beyond, ed. ...
36 pagesInternational audienceFor the SU(3) system of graphs generalizing the ADE Dynkin digrams in ...
25 pages, 5 tables, 9 figures. Version 2: updated references. Typos corrected. Several proofs added....
16 pages, 3 color figures. Version 2 : corrected misprints, new references, enlarged section 1 (foll...
22 pages, 3 color figures. Version 2: We changed the color of figures (ps files) in such a way that ...
42 pages; version 4: added clarifications in section 2.2 and footnotes 1 and 2.International audienc...
We compute the mapping class group action on cycles on the configuration space of the torus with one...
In this article, we review some aspects of logarithmic conformal field theories which can be inferre...
Abstract. In this article, we review some aspects of logarithmic conformal field theories which can ...
We calculate the fusion rules among $\mathbb{Z}_2$-twisted modules $L_{\mathfrak{sl}_2}(\ell,0)$ at ...
In view of applications to conformal field theory or to other branches of theoretical physics and ma...
28 pages, 7 figures. Version 2: updated references. Typos corrected. su(2) example has been removed ...
The algebraic engineering technique is applied to a class of 3D $\mathcal{N}=2$ gauge theories on th...
This book gives an exposition of the relations among the following three topics: monoidal tensor cat...
The fusion rules and braiding statistics of anyons in $(2+1)$D fermionic topological orders are char...
23 pages, 12 figures, LateX. To appear in MATHPHYS ODYSSEY 2001 --Integrable Models and Beyond, ed. ...
36 pagesInternational audienceFor the SU(3) system of graphs generalizing the ADE Dynkin digrams in ...
25 pages, 5 tables, 9 figures. Version 2: updated references. Typos corrected. Several proofs added....
16 pages, 3 color figures. Version 2 : corrected misprints, new references, enlarged section 1 (foll...
22 pages, 3 color figures. Version 2: We changed the color of figures (ps files) in such a way that ...
42 pages; version 4: added clarifications in section 2.2 and footnotes 1 and 2.International audienc...
We compute the mapping class group action on cycles on the configuration space of the torus with one...
In this article, we review some aspects of logarithmic conformal field theories which can be inferre...
Abstract. In this article, we review some aspects of logarithmic conformal field theories which can ...
We calculate the fusion rules among $\mathbb{Z}_2$-twisted modules $L_{\mathfrak{sl}_2}(\ell,0)$ at ...
In view of applications to conformal field theory or to other branches of theoretical physics and ma...
28 pages, 7 figures. Version 2: updated references. Typos corrected. su(2) example has been removed ...
The algebraic engineering technique is applied to a class of 3D $\mathcal{N}=2$ gauge theories on th...
This book gives an exposition of the relations among the following three topics: monoidal tensor cat...
The fusion rules and braiding statistics of anyons in $(2+1)$D fermionic topological orders are char...
23 pages, 12 figures, LateX. To appear in MATHPHYS ODYSSEY 2001 --Integrable Models and Beyond, ed. ...
36 pagesInternational audienceFor the SU(3) system of graphs generalizing the ADE Dynkin digrams in ...