Irrational Conformal Field Theory
M.B. Halpern, E. Kiritsis, N. Obers, K. Clubok
TL;DR
This review explores irrational conformal field theory, focusing on the Virasoro master equation, its solutions, and the dynamics including generalized Knizhnik-Zamolodchikov equations and world-sheet actions.
Contribution
It provides a comprehensive overview of irrational conformal field theory, highlighting its differences from rational CFT and discussing key equations and dynamics.
Findings
Solutions to the Virasoro master equation analyzed
Generalized Knizhnik-Zamolodchikov equations discussed
World-sheet actions of irrational CFT examined
Abstract
This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and the dynamics of irrational conformal field theory. Discussion of the dynamics includes the generalized Knizhnik-Zamolodchikov equations on the sphere, the corresponding heat-like systems on the torus and the generic world- sheet action of irrational conformal field theory.
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