Graded Lie Algebroids: A Framework for Geometrization of Matter and Forces Unification

Autor: Naser Boroojerdian, Ghodratallah Fasihi Ramandi
Rok vydání: 2018
Předmět:
Zdroj: Iranian Journal of Science and Technology, Transactions A: Science. 42:917-926
ISSN: 2364-1819
1028-6276
DOI: 10.1007/s40995-018-0516-x
Popis: In this paper, we introduce a geometric structure that is capable of describing matter and forces simultaneously. This structure can be established by using the notion of $$Z_{2}$$ -graded Lie algebroid structures and graded semi-Riemannian metrics on them. Using calculus of variations, we derive field equations from the extended Hilbert–Einstein action. The derived equations contain Yang–Mills and Einstein field equations simultaneously. The even part of the graded Lie algebroid describes forces and its odd part is related to matter and particles.
Databáze: OpenAIRE