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Small operators

Grant number: 20/16337-8
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): July 01, 2021
Effective date (End): June 30, 2023
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal researcher:Pedro Gil Martins Vieira
Grantee:Francesco Aprile
Home Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Associated research grant:19/24277-8 - Applications of quantum field theory, AP.SPEC


The goal of this project is to study the correlation function of small operators in N=4 SYM. Through the celebrated AdS/CFT correspondence these small operators correspond to the lightest string states most notably to the gravitons. Needless to say, computing a graviton scattering amplitude exactly in its full quantum regime is a major open problem in Physics. The four point correlation function of large operators in a four dimensional gauge theory for any value of the coupling will be used as a starting point to slowly reduce the size of these operators one by one in a controlled way. In the end, once all four operators are shrunk to their minimal size we will have obtained the first scattering amplitude of gravitons in a full fledged theory of quantum gravity. Conformal and S-matrix Bootstrap methods will also be used to constrain this important observable. (AU)