Chiral de Rham complex in manifolds with holonomy Spin(7)

• Grant number: 14/13357-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: January 01, 2015
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Adriano Adrega de Moura
• Grantee: Lazaro Orlando Rodriguez Diaz
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The project aims at the study of algebraic structures natural to some geometries, consisting of vertex algebras associated to Riemannian manifolds via the chiral de Rham complex. We will address the following problem: given a Riemannian manifold M with holonomy Spin(7), to prove that the space of global sections of the chiral de Rham complex associated to M contains two commuting copies of the Shatashvili-Vafa Spin(7) superconformal algebra. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CALVO-ANDRADE, OMEGAR; RODRIGUEZ DIAZ, LAZARO O.; SA EARP, HENRIQUE N.. Gauge theory and G(2)-geometry on Calabi-Yau links. REVISTA MATEMATICA IBEROAMERICANA, v. 36, n. 6, p. 1753-1778, 2020. (14/24727-0, 14/13357-7, 14/23594-6)