Conference abstracts
Session S08 - Lie Groups and Representations
No date set
$G_2$ holonomy manifolds are superconformal.
Lázaro Orlando Rodríguez Díaz
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.