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,…
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…