Nonsemisimple Fusion Algebras and the Verlinde Formula
By Jürgen Fuchs, Stephen Hwang, A. M. Semikhatov, I. Tipunin. 2003
149 citations recorded by the source corpus.
Abstract:We find a nonsemisimple fusion algebra associated with each (1, p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive from modular transformations of characters.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d9da150d0e327ddbae91b561fc23c8af920a94d0
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In Geometry and Topology
In Mathematical Physics
- T. Creutzig
- David Ridout
- A. Gainutdinov
- B. Feigin
- James Lepowsky
- I. Tipunin
- A. M. Semikhatov
- Yi-Zhi Huang
Citations in the corpus
- Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and their Generalized Modules (2010, background): “The paper [40] initiated a study of a possible generalization of the Verlinde conjecture for rational conformal field theories to these theories; see also [32, 33, 47] and [49].”
- Modular Group Representations and Fusion in Logarithmic Conformal Field Theories and in the Quantum Group Center (2005, methodology): “ [18, 21, 22]. On the conformal field theory side, the W(p) algebra was originally studied in [7, 8], also see [23, 24]. This paper can be considered a continuation (or a quantum-group counterpart) of [15] and is partly motivated by remarks already made there. That the quantum dimensions of the irred”
- Logarithmic conformal field theory: beyond an introduction (2013, methodology): “Nonetheless it is an apparent question whether one can derive the proposal of [104] using our method s.”