Work

$\rm G_2$ holonomy manifolds are superconformal

Year: 2016
Type: preprint
Abstract: We study the chiral de Rham complex (CDR) over a manifold $M$ with holonomy $\rm G_2$. We prove that the vertex algebra of global sections of the CDR associated to $M$ contains two commuting copies of the Shatashvili-Vafa $\rm G_2$ superconformal algebra. Our proof is a tour de force, based on explicit computations.
Language: English
Open Access status: green
OpenAlex ID: W2461750396
Cites: 9
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Related to: 10