383 citations · 4.2k across the 131 of their papers we have counts for
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Algebras in tensor categories and coset conformal field theories
J"urg Fr"ohlich, J"urgen Fuchs, Ingo Runkel +1
The coset construction is the most important tool to construct rational conformal field theories with known chiral data. For some cosets at small level, so-called maverick cosets,…
Correspondences of ribbon categories
J"urg Fr"ohlich, J"urgen Fuchs, Ingo Runkel +1
Much of algebra and representation theory can be formulated in the general framework of tensor categories. The aim of this paper is to further develop this theory for braided tenso…
TFT construction of RCFT correlators II: Unoriented world sheets
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert
A full rational CFT, consistent on all orientable world sheets, can be constructed from the underlying chiral CFT, i.e. a vertex algebra, its representation category C, and the sys…
Boundaries, defects and Frobenius algebras
J"urgen Fuchs, Ingo Runkel, Christoph Schweigert
The interpretation of D-branes in terms of open strings has lead to much interest in boundary conditions of two-dimensional conformal field theories (CFTs). These studies have deep…
Lie algebras, Fuchsian differential equations and CFT correlation functions
Jürgen Fuchs, Ingo Runkel, Christoph Schweigert
Affine Kac-Moody algebras give rise to interesting systems of differential equations, so-called Knizhnik-Zamolodchikov equations. The monodromy properties of their solutions can be…