Data: 23/11/2016
Hora: 15:30h
Local: C116

Palestrante: Lázaro Rodríguez (Unicamp)

Título: G_2 holonomy manifolds are superconformal.

Resumo: Given a manifold with G_2 holonomy we prove the space of global sections of the chiral de Rham complex contains two commuting copies of the Shatashvili-Vafa superconformal algebra. This algebra appears as the chiral algebra associated to the sigma model with target a G_2 holonomy manifold. I will discuss how the structure and representation theory of this vertex algebra can be used to unravel the geometry and topology of the underlying manifold.