Non-Commutativity and the Theta Term

10th Workshop of the Gravitation and Mathematical Physics Division, Mexican Physical Society

物理学;数学

Obregón, O.^1 ; Santos-Silva, R.^1

Departamento de Física, Universidad de Guanajuato, León-Guanajuato

C.P. 37150, Mexico^1

关键词: Commutativity;    Non-commutative;    Space time;    Topological properties;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/545/1/012011/pdf
DOI  :  10.1088/1742-6596/545/1/012011

来源: IOP

【 摘 要 】

In the presente paper we will study the non-commutativity in the space-time through the map developed by N. Seiberg and E. Witten, and explore the topological implications due to the introduction of non-commutativity. We will explore this topological properties using a non-commutative extension of the θ-term (second Chern class) on the 4dimensional sphere.