Finding Integrable Deformations

• Grant number: 25/03661-5
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 04, 2025
• End date: September 03, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: José Francisco Gomes
• Grantee: Ysla França Adans
• Supervisor: Marius de Leeuw
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Institution abroad: Trinity College Dublin, Ireland
• Associated to the scholarship: 22/13584-0 - Infinite Algebras, Solitons and Integrable Defects, BP.DR

Abstract

Integrable models constitute an important topic in physics, as they provide techniques to obtain exact solutions for certain physical systems. This work aims to develop a systematic formalism to classify deformations that preserve the integrability of models using the Boost operator technique. Specifically, we aim to apply this formalism to obtain integrable deformations of the Hubbard model, which is significant both for condensed matter systems and the AdS5 superstring. Furthermore, we will explore potential connections between these deformations and Drinfeld twists. (AU)