383 citations · 4.2k across the 131 of their papers we have counts for
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Fixed point resolution in conformal field theory
J. Fuchs, A. N. Schellekens, C. Schweigert
We summarize recent progress in the understanding of fixed point resolution for conformal field theories. Fixed points in both coset conformal field theories and non-diagonal modul…
Twining characters and orbit Lie algebras
J. Fuchs, U. Ray, A. N. Schellekens +1
We associate to outer automorphisms of generalized Kac-Moody algebras generalized character-valued indices, the twining characters. A character formula for twining characters is de…
On moduli spaces of flat connections with non-simply connected structure group
Christoph Schweigert
We consider the moduli space of flat G-bundles over the twodimensional torus, where G is a real, compact, simple Lie group which is not simply connected. We show that the connected…
WZW fusion rings in the limit of infinite level
J"urgen Fuchs, Christoph Schweigert
We show that the WZW fusion rings at finite levels form a projective system with respect to the partial ordering provided by divisibility of the height, i.e. the level shifted by a…
Some automorphisms of Generalized Kac-Moody algebras
J"urgen Fuchs, Urmie Ray, Christoph Schweigert
To any symmetry of the Cartan matrix of a Generalized Kac-Moody (GKM) algebra we associate a family of automorphisms of the algebra which act in a natural way on the modules of the…
A matrix S for all simple current extensions
J"urgen Fuchs, Bert Schellekens, Christoph Schweigert
A formula is presented for the modular transformation matrix S for any simple current extension of the chiral algebra of a conformal field theory. This provides in particular an al…