Topological Gauge theories and integrable models

• Grant number: 19/12167-3
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2019
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Pedro Gil Martins Vieira
• Grantee: Matheus Augusto Fabri
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics, AP.ESP

Abstract

This project has as its primal objective to extend the recent developments that topological gauge theories are connected with integrable models. These are based on a topological field theory of Schwartz type that has a four dimensional Chern-Simons type action with complex gauge group G defined on a product manifold that consists of a topological plane times a holomorphic manifold. The idea is that the projections of crossings of Wilson lines in this gauge theory can be interpreted as R-matrices of a integrable model with symmetry group G lying in the topological plane with the coordinate in the holomorphic manifold being the spectral parameter of the R-matrix. Then using this formalism we hope to shed light in the classification of integrable models, in how the fusion rules arise in this framework and more importantly how a duality dictionary can be build relating topological gauge theories in higher dimensions with integrable models in lower dimensions like a holographic principle. (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)

FABRI, MATHEUS. Hexagonalization in AdS3 x S3 x T4: Mirror corrections. PHYSICAL REVIEW D, v. 106, n. 12, p. 13-pg., 2022-12-15. (16/01343-7, 19/12167-3)

Academic Publications

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

FABRI, Matheus Augusto. Hexagonalization in AdS/CFT: classical limit in AdS5/CFT4 and mirror corrections in AdS3/CFT2. 2023. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo São Paulo.