Non-perturbative and large N effects

• Grant number: 26/04246-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2026
• End date: March 31, 2030
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Eduardo Tremea Casali
• Grantee: Mateus Rodrigues Guimaraes
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 24/12765-6 - Twisted holography and twistor strings, AP.JP

Abstract

This work investigates non-perturbative phenomena within the large N limit of gauge theories, exploring the AdS/CFT correspondence. The analysis focuses on how 1/N corrections and instanton effects unveil the fundamental structure of quantum gravity and color dynamics in strong coupling regimes, linking 't Hooft's topological expansion to D-brane geometry in compactified spaces. (AU)