AdS/CFT and Dualities, Integrability and Topological Strings

• Grant number: 22/05152-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: September 01, 2022
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Marcelo Rezende Barbosa
• 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
• Associated scholarship(s): 24/20612-5 - T-Duality and TTbar-Like Deformations in 2D (Super)Sigma Models, BE.EP.DR

Abstract

In this project, we will study various aspects of AdS/CFT, dualities and integrabilities, as well as their relation to topological strings. String dualities, a generalization of field theory duality symmetries, relate different string theories (and also QFT by the geometricalengineering of QFT), and there is a rich interconnection with the AdS/CFT correspondence, itself an example of such a duality. Integrability, while mainly dealing with field theory, has been connected to the AdS/CFT correspondence first through its pp wave limit, and subsequent extensions. Recently, the observation that there are important deformations of QFTs, and in particular of integrable theories, called $T\bar T$ deformations, has received much attention, in particular for the AdS/CFT correspondence.In this project, we will study dualities and integrabily in various models and their relation to spin chains, and the pp wave limit. In particular, $T\bar T$ deformations of these will be considered, and of the integrable structure on the worldsheet string and in the field theory. We will then study the dualities when applied to topological strings andstudy their uses for integrability and deformations in the context of the AdS/CFT correspondence.

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)

BARBOSA, MARCELO R.; NASTASE, HORATIU. Penrose limit of T dual of Maldacena-Nastase solution and dual orbifold field theory. PHYSICAL REVIEW D, v. 109, n. 8, p. 11-pg., 2024-04-29. (22/05152-2, 19/21281-4, 21/14335-0)

BARBOSA, MARCELO; NASTASE, HORATIU; NUNEZ, CARLOS; STUARDO, RICARDO. Penrose limits of I-branes, twist-compactified D5-branes, and spin chains. PHYSICAL REVIEW D, v. 110, n. 4, p. 11-pg., 2024-08-15. (16/01343-7, 22/05152-2, 19/21281-4)