A note on the logarithmic (p,p') fusion
arXiv:0710.5157
Abstract
The procedure in [Fuchs et al.] to obtain a fusion algebra from the modular transformation of characters in logarithmic conformal field models is extended to the (p,p') logarithmic models. The resulting fusion algebra coincides with the Grothendieck ring of the quantum group of the (p,p') model.
12 pages, amsart++, times. V2: some explanatory comments added
References in corpus (10)
- Logarithmic Operators in Conformal Field Theory
- A Rational Logarithmic Conformal Field Theory
- Indecomposable Fusion Products
- Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
- Logarithmic extensions of minimal models: characters and modular transformations
- Kazhdan--Lusztig-dual quantum group for logarithmic extensions of Virasoro minimal models
- Virasoro representations and fusion for general augmented minimal models
- On Verlinde-Like Formulas in c_{p,1} Logarithmic Conformal Field Theories
- Fourier transform and the Verlinde formula for the quantum double of a finite group
- Zero modes' fusion ring and braid group representations for the extended chiral su(2) WZNW model
Cited by in corpus (8)
- Logarithmic Conformal Field Theory: Beyond an Introduction
- Modular Data and Verlinde Formulae for Fractional Level WZW Models I
- Fusion rules and boundary conditions in the c=0 triplet model
- Radford, Drinfeld, and Cardy boundary states in (1,p) logarithmic conformal field models
- A modular invariant bulk theory for the c=0 triplet model
- Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models
- Boundary algebras and Kac modules for logarithmic minimal models
- W-Extended Logarithmic Minimal Models