Conformal blocks and cohomology in genus 0

TL;DR

This paper characterizes genus 0 conformal blocks for classical Lie algebras and G2 using the singular cohomology of specific smooth projective varieties, linking conformal field theory with algebraic geometry.

Contribution

It provides a new geometric interpretation of conformal blocks in genus 0 for certain Lie algebras, connecting them to cohomological invariants.

Findings

Conformal blocks are characterized via singular cohomology.

The approach applies to classical Lie algebras and G2.

Establishes a geometric framework for understanding conformal blocks.

Abstract

We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus 0 for classical Lie algebras and $G_2$.