String theory on pp waves from AdS/CFT and spin chains

• Grant number: 22/10376-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2022
• End date: December 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Lucas Santos Sousa
• 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

In this project, we will study the worldsheet action of string theory on parallel plane, or ``pp'' waves, obtained in a certain limit of gravitational spaces used for the AdS/CFT correspondence, and show that by discretization, we obtain a quantum mechanical action that is obtained in the context of the Heisenberg spin chain for spins in a condensed matter system. We will also consider the case of Hamiltonians that are functions of the previous one, obtained in a certain case of deformation ($T\bar T$).