Conference abstracts

Session S08 - Lie Groups and Representations

No date set

## $G_2$ holonomy manifolds are superconformal.

### University of Campinas, Brazil   -   lazarord@ime.unicamp.br

We discuss the chiral the Rham complex (CDR) over a manifold $M$ with holonomy $G_2$. We will show how the vertex algebra of global sections of the CDR associated to $M$ contains two commuting copies of the Shatashvili-Vafa $G_2$ superconformal algebra.