The nonchiral fusion rules in rational conformal field theories

DOI10.1023/A:1014599117130zbMATH Open0990.81110arXivhep-th/9907137MaRDI QIDQ1599564

A. Rida, T. Sami

Publication date: 11 June 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Abstract: We introduce a general method in order to construct the non chiral fusion rules which determine the operator content of the operator product algebra for rational conformal field theories. We are particularly interested in the models of the complementary D-like solutions of modular invariant partition functions with cyclic center Zn. We find that the non chiral fusion rules have a Zn-grading structure.

Full work available at URL: https://arxiv.org/abs/hep-th/9907137

zbMATH Keywords

structure constantssimple current\(Z_N\)-grading structuremodular invariant partition functions with cyclic center \(Z_N\)

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05)

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