Irrational Conformal Field Theory on the Sphere and the Torus
M.B. Halpern
TL;DR
This paper reviews the foundations of irrational conformal field theory (ICFT), including key equations like the Virasoro master and generalized Knizhnik-Zamolodchikov equations on sphere and torus.
Contribution
It provides a comprehensive overview of ICFT, extending rational CFT concepts and presenting the foundational equations governing correlators on different surfaces.
Findings
Virasoro master equation elucidated
Generalized Knizhnik-Zamolodchikov equations derived
ICFT framework includes rational CFT as a subset
Abstract
I review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation and the generalized Knizhnik-Zamolodchikov equations for the correlators of ICFT on the sphere and the torus.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Algebra and Geometry · Black Holes and Theoretical Physics