Applications of Hopf algebras in physics

• Grant number: 11/23806-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2012
• End date: September 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Paulo Teotonio Sobrinho
• Grantee: Pramod Padmanabhan
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 15/05730-2 - Topological phases and nonequilibrium dynamics, BE.EP.PD

Abstract

The focus of this project will be on studying the various ways in which Hopf algebrasoccur in noncommutative field theory, fuzzy physics and lattice spin-gauge theory.We will study quantum eld theories(qft's) on the Groenewold-Moyal(GM) plane formulatedusing the notion of twisted statistics. In particular we will emphasize the roleof quasi-Hopf algebras in the formulation of the noncommutative gauge theories and howthey lead to nonassociative noncommutative spacetimes. We propose to study the phenomenologicalconsequences of these novel spacetimes such as non-Pauli transitions. Wewill also look at the problem of renormalizing these theories and how the noncommutativeparameter changes the running of the coupling constants and other parameters of thetheory. (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)

PADMANABHAN, PRAMOD; TEOTONIO-SOBRINHO, PAULO. Non-Abelian fusion rules from an Abelian system. ANNALS OF PHYSICS, v. 361, p. 266-277, OCT 2015. (11/23806-5)