On the unitary nature of abelian conformal blocks

TL;DR

This paper characterizes the unitary structure of abelian conformal blocks using WZW-data, providing insights into their geometric and algebraic properties.

Contribution

It establishes a connection between the unitary structure of abelian conformal blocks and WZW-data, clarifying their projectively flat nature.

Findings

Unitary structure of abelian conformal blocks is explicitly determined.

The projectively flat structure is described in terms of WZW-data.

Provides a framework for understanding conformal blocks in abelian theories.

Abstract

We determine the projectively flat unitary structure on abelian conformal blocks in terms of WZW-data.