Graded Lie Algebroids: A Framework For Geometrization Of Matter And Forces Unification

	Graded Lie Algebroids: A Framework For Geometrization Of Matter And Forces Unification
Iranian Journal of Science
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 اسفند 1394
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3612
نویسندگان
Naser Broojerdian^* ؛ Ghodratallah Fasihi Ramandi
a Department of Pure Mathematics, PHD student, Amirkabir University of Technology, No. 424, Hafez Ave.
چکیده
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 Z2 -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.
کلیدواژه‌ها
Z2-graded Lie Algebroid؛ Graded metric؛ Hilbert-Einstein action؛ Unified Field Equation

آمار تعداد مشاهده مقاله: 1,180