Spin chains, the pp wave correspondence, and deformations

• Grant number: 23/13676-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2024
• End date: February 28, 2026
• 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

The AdS/CFT correspondence and gauge/gravity dualities, in their "top-down"form, relate holographically string theory in a gravitational background with a quantum field theory on the boundary, relating strong vs. weak coupling. Its Penrose limit gives the pp wave correspondence, in which strings appear explicitly in the gravitational background, and spin chains appear in the field theory. The field theories, in particular N=4 SYM, dual to strings on $AdS_5\times S^5$,have interesting nontrivial deformations, like $T\bar T$ deformations, noncommutative, supersymmetric and integrable deformations. The Penrose limit, due to the simplicity of its endpoint, generically sheds light on the original holographic duality. We will use it to shed light on the nontrivial deformations of N=4 SYM.