On algebraic equations satisfied by hypergeometric correlators in WZW models. II

TL;DR

This paper explicitly describes bundles of conformal blocks in WZW models and proves that certain integral representations of KZ equations are sections of these bundles, advancing understanding in conformal field theory.

Contribution

It provides an explicit description of conformal block bundles and establishes the connection between integral KZ solutions and these bundles in WZW models.

Findings

Integral representations of KZ equations are sections of conformal block bundles.

Explicit description of conformal block bundles in WZW models.

Strengthens the mathematical foundation of conformal field theory.

Abstract

We give an explicit description of "bundles of conformal blocks" in Wess-Zumino-Witten models of Conformal field theory and prove that integral representations of Knizhnik-Zamolodchikov equations constructed earlier by the second and third authors are in fact sections of these bundles.