Superstrings in ADs and n=4 D=4 super-Yang-Mills

• Grant number: 13/12416-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2013
• End date: August 01, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Thiago Simonetti Fleury
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 14/18634-9 - Gauge/Gravity duality, AP.TEM
• Associated scholarship(s): 15/01135-2 - Correlation functions at weak coupling in n=4 D=4 super-Yang-Mills, BE.EP.PD

Abstract

The Maldacena's conjecture or AdS/CFT predicts a duality between two apparently different theories and it has been one of the most studiest topics in high energy physics since its formulation. One of the versions of the conjecture is the duality between the theory of type II B superstrings in the background AdS^5 X S^5 and the theory of N=4 d=4 super-Yang-Mills. The superstring action in this background is known both in the Green-Schwarz formalism and in the pure spinor formalism. However, the vertex operators of the theory is not known and there is no available methods for computing its spectrum for first principles. In this project we intend both to study the vertex operatos of the theory generalizing recent results about the behaviour of these operators close to the boundary of AdS and to derive the Y-system of the theory in a higher order in perturbation theory which enables one to compute the spectrum. In addition, we intend to study classical solutions and its quantum corrections for superstrings in the backgrounds AdS^5 X S^5 and AdS_4 X CP^3 which is related with the correlations functions in the limit of strong coupling of the respective dual theory. Using integrability methods, we are going also to study correlations function in N=4 d=4 super-Yang-Mills at weak coupling. (AU)

Scientific publications

(8)

(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; 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)

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)

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. Three-point functions and su(1 vertical bar 1) spin chains. Journal of High Energy Physics, n. 9, SEP 29 2014. (13/12416-7, 11/11973-4)

CAETANO, JOAO; FLEURY, THIAGO. Three-point functions and su(1 vertical bar 1) spin chains. Journal of High Energy Physics, v. N/A, n. 9, p. 35-pg., 2014-09-29. (11/11973-4, 13/12416-7)

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)