Quantum integrability in the su(1,1) sector of string theory in AdS5xS5

• Grant number: 09/17918-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2010
• End date: March 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Victor de Oliveira Rivelles
• Grantee: Eliane Pereira
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 08/05343-5 - Quantum gravity, AP.TEM

Abstract

The goal of this research project is to study the quantum integrability of the su(1,1) sector of string theory in AdS5xS5. The su(1,1) sector is a particularly interesting example of fermionization, which appears naturally in this model due to the constraint analysis in the uniform gauge. As it is well known, the fermionization technique used by Wiegmann and Polyakov allow us to obtain the solution for nonlinear sigma models. This technique however has not yet been applied to string theory. The su(1,1) sector of string theory, known as the Alday-Arutyunov-Frolov (AAF) model, provides the first example of fermionization in string theory, and hence is a particularly interesting model to be studied. (AU)

Scientific publications

(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)

MELIKYAN, A.; PEREIRA, E.; RIVELLES, V. O.. On the equivalence theorem for integrable systems. Journal of Physics A-Mathematical and Theoretical, v. 48, n. 12, MAR 27 2015. (09/17918-5, 12/51444-3)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

PEREIRA, Eliane. Quantum integrability of the Alday-Arutyunov-Frolov model. 2015. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.