Fusion rules and modular transformations in 2D conformal field theory

E Verlinde - Nuclear Physics B, 1988 - Elsevier
… the fusion rules of the primary fields and the modular … a relation between fusion rules and
modular transformations exists was … For this model we found that one could derive the modular

Vertex operator algebras, fusion rules and modular transformations

YZ Huang - arXiv preprint math/0502558, 2005 - arxiv.org
… famous relation between the fusion rules and the action of the modular transformation τ ↦→ …
a modular tensor category, we have fusion rules and an action of modular transformations. It …

Towards a modular program derivation via fusion and tupling

WN Chin, Z Hu - International Conference on Generative Programming …, 2002 - Springer
fusion, followed by tupling transformations. By focusing on the elimination of intermediate data
structures (fusion… we will need a different type of Horner’ rules, that are oriented for right-to-…

Fusion rules of modular invariants

DE Evans - Reviews in Mathematical Physics, 2002 - World Scientific
… ∗ , we have the following simple commutative fusion rules for the three modular invariants at
level … conformal character transformations. Antony Wassermann has informed us that he has …

[PDF][PDF] Modular invariants and their fusion rules

DE Evans, PR Pinto - arXiv preprint math/0309175, 2003 - arxiv.org
… These are the normalized modular invariants, and if one relaxes the … of normalized modular
invariants then an interesting fusion rule algebra … Fusion of SU(2)16 modular invariants …

On non-semisimple fusion rules and tensor categories

J Fuchs - Contemporary Mathematics, 2007 - books.google.com
… The fusion rules of C can be block-diagonalized. A conjectural connection between the
block-diagonalization and modular transformations of characters of modules over vertex …

[图书][B] A modular derivation strategy via fusion and tupling

WN Chin, Z Hu, M Takeichi - 1997 - Citeseer
modular transformation techniques, we are able to systematically reuse both code and
transformation … Although this classical derivation, based on Horner's rule, looks more concise that …

On the classification of modular fusion algebras

W Eholzer - Communications in mathematical physics, 1995 - Springer
We introduce the notion of (nondegenerate) strongly-modular fusion algebras. Here strongly-modular
means that the fusion algebra is induced via Verlinde's formula by a …

Shortcut fusion rules for the derivation of circular and higher-order monadic programs

A Pardo, JP Fernandes, J Saraiva - Proceedings of the 2009 ACM …, 2009 - dl.acm.org
… Programs so defined are modular and have many benefits, such … , some program transformation
techniques have been … a more general program transformation technique called lambda …

[PDF][PDF] Conformal blocks, fusion rules and the Verlinde formula

A Beauville - Proceedings of the Hirzebruch, 1996 - Citeseer
… In order to do this we consider the ̂g-module Hλ … Verlinde, Fusion rules and modular
transformations in 2d conformal field theory, Nuclear Physics B300 (1988), 360–376. …