Nonsemisimple Fusion Algebras and the Verlinde Formula
J. Fuchs, S. Hwang, A.M. Semikhatov, and I. Yu. Tipunin
TL;DR
This paper introduces a nonsemisimple fusion algebra linked to (1,p) Virasoro models and generalizes the Verlinde formula to derive these algebras from modular transformations.
Contribution
It presents a novel nonsemisimple Verlinde formula and constructs associated fusion algebras for (1,p) Virasoro models.
Findings
Derived nonsemisimple fusion algebras for (1,p) models
Generalized Verlinde formula applicable to nonsemisimple cases
Connected modular transformations to fusion algebra structures
Abstract
We find a nonsemisimple fusion algebra F_p associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F_p from modular transformations of characters.
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