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Applications of Hopf algebras in physics

Grant number: 11/23806-5
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): October 01, 2012
Effective date (End): 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)

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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, . (11/23806-5)

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