Spin chains and Yang-Baxter deformations in the AdS/CFT correspondence

• Grant number: 22/06599-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2023
• End date: November 20, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Thiago Rocha Araujo
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 19/21281-4 - Gauge / gravity duality, AP.TEM

Abstract

Integrable structures in physical systems allow the analytical calculation of several physical observables. This project aims to analyze and describe these structures in the Ads/CFT correspondence. Using integrable deformations (Yang Baxter) of the AdS5/N = 4 SYM correspondence, we can engineer several families of gauge theories preserving N = 1 and N = 2 supersymmetries. The analysis of their integrable structures - the sectors described by spin chains, in particular - will allow us to elucidate the physical properties, symmetries, and interactions of the deformed gauge theories. In this project, we will address these aspects, as well as the existence and use of the quantum spectral curves in the study of the AdS/CFT correspondence.