Correlation functions at weak coupling in n=4 D=4 super-Yang-Mills

• Grant number: 15/01135-2
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: May 01, 2015
• End date: January 01, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Thiago Simonetti Fleury
• Supervisor: Pedro Gil Martins Vieira
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Institution abroad: Perimeter Institute for Theoretical Physics, Canada
• Associated to the scholarship: 13/12416-7 - Superstrings in ADs and n=4 D=4 super-Yang-Mills, BP.PD

Abstract

The supersymmetric gauge theory N=4 Super-Yang-Mills in four dimensions is a superconformal theory and is believed to be integrable forany value of the coupling constant. In addition, due to the AdS/CFT conjecture, this theory is considered to be dual to the theory of superstrings in AdS_5 x S^5.Using integrability techniques, the computation of the spectrum of the theory is considered to be formally a solved problem. The next step in solving thetheory is the computation of its structure constants. In this project, we will study the three-point functions of operators in the rank one sectors in a more generalsetup of the ones already studied, we also plan to investigate the extremal limit and study non-planar corrections. Moreover, we intend to study scalar productsof Bethe states in higher rank groups. Finally, we plan to study the loop corrections for the structure constants and may find predictions for their values at any value of thecoupling constant using an axiomatic approach. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FLEURY, THIAGO. On the pure spinor heterotic superstring b ghost. Journal of High Energy Physics, n. 3, MAR 30 2016. (15/01135-2, 13/12416-7)

FLEURY, THIAGO. On the pure spinor heterotic superstring b ghost. Journal of High Energy Physics, v. N/A, n. 3, p. 21-pg., 2016-03-30. (13/12416-7, 15/01135-2)

FLEURY, THIAGO; KOMATSU, SHOTA. Hexagonalization of correlation functions. Journal of High Energy Physics, v. N/A, n. 1, p. 45-pg., 2017-01-30. (15/01135-2, 13/12416-7)

CAETANO, JOAO; FLEURY, THIAGO. Fermionic correlators from integrability. Journal of High Energy Physics, n. 9, SEP 2 2016. (13/12416-7, 15/01135-2)

FLEURY, THIAGO; KOMATSU, SHOTA. Hexagonalization of correlation functions. Journal of High Energy Physics, n. 1, JAN 30 2017. (13/12416-7, 15/01135-2)

CAETANO, JOAO; FLEURY, THIAGO. Fermionic correlators from integrability. Journal of High Energy Physics, v. N/A, n. 9, p. 27-pg., 2016-09-02. (15/01135-2, 13/12416-7)