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AdS/CFT and Dualities, Integrability and Topological Strings

Grant number: 22/05152-2
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): September 01, 2022
Effective date (End): 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

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.

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