Banca de QUALIFICAÇÃO: LUCAS VASCONCELLOS DE SOUZA

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : LUCAS VASCONCELLOS DE SOUZA
DATE: 08/12/2022
TIME: 14:00
LOCAL: UFABC - Santo André
TITLE:

Z22-graded Lie algebras - a

generalization of Supersymmetry

PAGES: 29
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Matemática Aplicada
SPECIALTY: Física Matemática
SUMMARY:

We are investigatin physical models with Z2Z2-graded symmetries. This types of algebraic structures are generalizations of superalgebras. There are two types of Z2Z2-graded structures, so called Z2Z2-graded Lie algebras end Z2Z2-graded Lie superalgebras. 

     Z2Z2-graded Lie superalgebras got scientific attention recently while Z2Z2-graded Lie algebras almost were not investigated. In this qualificaion exam we define operatoes of Z2Z2 Lie algebras representations acting on functions of exotic coordinates where three coordinates anticommute but they are not grassmannians. We also present a physical system which is symmetric under Z2Z2 Lie algebra. This system is defined in a normal 3+1-dimentional spacetime.

 

 

BANKING MEMBERS:
Presidente - Interno ao Programa - 1674595 - ZHANNA GENNADYEVNA KUZNETSOVA
Membro Titular - Examinador(a) Interno ao Programa - 2278843 - LUIS ENRIQUE RAMIREZ
Membro Titular - Examinador(a) Interno ao Programa - 1574260 - ROLDAO DA ROCHA JUNIOR