Gauge Theories and Topological models

• Grant number: 12/21355-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2013
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Paulo Teotonio Sobrinho
• Grantee: Miguel Jorge Bernabé Ferreira
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Topological quantum field theories (TQFT) is now a subject of greatinterest in physics due to its relevance to topological order andtopological quantum computation. In this context, it is of primeimportance to know which systems can bedescribed by a TQFT in the limit of large distances and low energy. In this project we investigate an Euclidean version of this problem.We consider gauge theories on the lattice and look for points on theparameter space where the theory behaves as topological. Hopf algebrasand 3-manifold theory appear naturally in our approach.

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)

PADMANABHAN, PRAMOD; IBIETA-JIMENEZ, JUAN PABLO; BERNABE FERREIRA, MIGUEL JORGE; TEOTONIO-SOBRINHO, PAULO. Deformed quantum double realization of the toric code and beyond. ANNALS OF PHYSICS, v. 372, p. 238-259, SEP 2016. (12/21355-9)

Academic Publications

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

FERREIRA, Miguel Jorge Bernabé. Gauge theories and topological models (anyons and topological order). 2016. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.