Generalized Spin(7) geometry

• Grant number: 24/09514-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2024
• End date: February 29, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Henrique Nogueira de Sá Earp
• Grantee: Bernardo Santos Vieira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 21/04065-6 - BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability, AP.TEM

Abstract

The aim of this project is to contribute to the study of heterotic systems and coupled G-instantons, particularly in the context of Spin(7). We intend to propose a study of the heterotic Spin(7) system and coupled Spin(7)-instantons, investigating if the tools used in the cases of SU(n) and G_2 can be adapted for Spin(7), and exploring the potential relationships between the solutions in each of these contexts.