$\rm G_2$ holonomy manifolds are superconformal
Quantum Algebra
2016-07-01 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study the chiral de Rham complex (CDR) over a manifold with holonomy . We prove that the vertex algebra of global sections of the CDR associated to contains two commuting copies of the Shatashvili-Vafa superconformal algebra. Our proof is a tour de force, based on explicit computations.
Keywords
Cite
@article{arxiv.1606.09534,
title = {$\rm G_2$ holonomy manifolds are superconformal},
author = {Lázaro O. Rodríguez Díaz},
journal= {arXiv preprint arXiv:1606.09534},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1003.4388 by other authors