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Recent Progress in Irrational Conformal Field Theory

M. B. Halpern
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Abstract

In this talk, I will 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, the Ward identities for the correlators of ICFT and solutions of the Ward identities. In particular, I will discuss the solutions for the correlators of the $g/h$ coset constructions and the correlators of the affine-Sugawara nests on $g\supset h_1 \supset \ldots \supset h_n$. Finally, I will discuss the recent global solution for the correlators of all the ICFT's in the master equation.

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M. B. Halpern. 1993-09-16. Recent Progress in Irrational Conformal Field Theory. https://arxiv.org/abs/hep-th/9309087

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