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19982026
most citedTFT construction of RCFT correlators I: Partition functions

383 citations · 3.5k across the 90 of their papers we have counts for

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Showing 2003 · hep-thShow all

5 papers · 2 filters

hep-th2003★ 18 cited

Higher order loop equations for A_r and D_r quiver matrix models

Stefano Chiantese, Albrecht Klemm, Ingo Runkel

We use free boson techniques to investigate A-D-E-quiver matrix models. Certain higher spin fields in the free boson formulation give rise to higher order loop equations valid at f…

hep-th2003★ 18 cited

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,…

hep-th2003★ 123 cited

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…

hep-th2003★ 25 cited

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…

hep-th2003

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…