T-Duality and TTbar-Like Deformations in 2D (Super)Sigma Models

• Grant number: 24/20612-5
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2025
• End date: August 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Marcelo Rezende Barbosa
• Supervisor: Martin Rocek
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Institution abroad: Stony Brook University (SB), United States
• Associated to the scholarship: 22/05152-2 - AdS/CFT and Dualities, Integrability and Topological Strings, BP.DR

Abstract

In recent years, the study of two-dimensional (2D) sigma models has been crucial for advancing both theoretical physics and mathematical physics, particularly due to their deep connections with string theory, dualities, and integrability. This project focuses on exploring T-duality and TTbar-like deformations within the framework of 2D (super)sigma models, utilizing the superspace formalism. Supersymmetric sigma models providean enriched understanding of the geometry and topology of target spaces, and theirduals. By employing both T-duality and TTbar-like deformations, this project seeks to investigate how these techniques modify the geometric structures of the models and trigger renormalization group (RG) flows.Building on recent advances, we aim to extend the analysis of T-duality and T ¯ T -likedeformations to 2D supersymmetric sigma models, including N = (2, 2),N = (2, 0),and twisted versions in the superspace formalism. The objectives include constructingT-dual geometries, developing a first-order formalism for these deformations, andstudying the resulting RG flows and sigma model geometries. The study is expected todeepen our understanding of duality-deformation interplay, supersymmetric field theories,and the broader implications for string theory and holographic duality. The projectaligns with cutting-edge research on dualities and integrable deformations, contributingto non-perturbative aspects of quantum field theory.