Modular data: the algebraic combinatorics of conformal field theory
Journal of Algebraic Combinatorics, Tome 22 (2005) no. 2, pp. 211-250.
Voir la notice de l'article dans Electronic Library of Mathematics
Summary: This paper is primarily intended as an introduction for mathematicians to some of the rich algebraic combinatorics arising in for instance conformal field theory (CFT). It tries to refine, modernise, and bridge the gap between papers [6] and [55]. Our paper is essentially self-contained, apart from some of the background motivation (Section 1) and examples (Section 3) which are included to give the reader a sense of the context. Detailed proofs will appear elsewhere. The theory is still a work-in-progress, and emphasis is given here to several open questions and problems.
Classification :
!!par!!Algebra, #, of, series, Levels, of, exceptionals, Verified, for:, A(1), k, odd:, 1, k, =, 10,, 16,, 28, forall, k
Mots-clés : keywords fusion ring, modular data, conformal field theory, affine Kac-Moody algebra
Mots-clés : keywords fusion ring, modular data, conformal field theory, affine Kac-Moody algebra
@article{JAC_2005__22_2_a0, author = {Gannon, Terry}, title = {Modular data: the algebraic combinatorics of conformal field theory}, journal = {Journal of Algebraic Combinatorics}, pages = {211--250}, publisher = {mathdoc}, volume = {22}, number = {2}, year = {2005}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/JAC_2005__22_2_a0/} }
Gannon, Terry. Modular data: the algebraic combinatorics of conformal field theory. Journal of Algebraic Combinatorics, Tome 22 (2005) no. 2, pp. 211-250. https://geodesic-test.mathdoc.fr/item/JAC_2005__22_2_a0/