© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Nuclear Physics B - Proceedings Supplements

Modular invariance and the fusion algebra

Robbert Dijkgraaf, Erik Verlinde

Published Dec 1, 1988• 133 citations

DOI: 10.1016/0920-5632(88)90371-4

Related papers

Analyticity, modular invariance and the classification of three operator fusion algebras

Michele Caselle, G. Ponzano

Physics Letters B•May 1, 1990•5 citations

Conformal invariance, current algebra and modular invariance

Adrian Kent

Physics Letters B•Jun 1, 1986•23 citations

SU(N) 1 fusion rule and modular transformation matrix by orthogonal polynomials

M. Alimohammadi

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Feb 1, 1994•0 citations

WZW fusion rules, quantum groups, and the modular matrix S

Jürgen Fuchs, Peter van Driel

Nuclear Physics B•Dec 1, 1990•39 citations

Fusion Algebras and Differential Equation Approach to Rational Conformal Field Theories

F. Ravanini

Constraints on conformal dimensions and central charge of Rational Conformal Field Theories (RCFTs) coming from analytic closure of 4-point functions on the sphere and modular invariance of partition function on the torus are reviewed. These constraints, together with modular invariance ones and a deeper understanding of the structure of Fusion Algebras (FAs) can help a lot in the classification of RCFTs. In particular we show how FAs with 2 and 3 primary operators can be completely classified.

•Jan 1, 1990•0 citations

Modular Invariance and the A—D—E Classification

Michio Kaku

Graduate texts in contemporary physics•Jan 1, 1991•1 citation