Noncommutative teleparallel gravity from a consistent deformation of gauge theory

6th International Symposium on Quantum Theory and Symmetries

Cortese, Ignacio^1 ; García, J. Antonio^1

Departamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México D.F. 04510, Mexico^1

关键词: Deformation theory;    Gauge theory;    Non-commutative;    Teleparallel gravity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012015/pdf
DOI  :  10.1088/1742-6596/462/1/012015

来源: IOP

【 摘 要 】

Starting from a standard noncommutative gauge theory and using the Seiberg-Witten map we propose a new version of a noncommutative gravity. We use consistent deformation theory starting from a free gauge action and gauging a killing symmetry of the background metric to construct a deformation of the gauge theory that we can relate with gravity. The result of this consistent deformation of the gauge theory is nonpolynomial in Aμ. From here we can construct a version of noncommutative gravity that is simpler than previous attempts. Our proposal is consistent and is not plagued with the problems of other approaches like twist symmetries or gauging other groups.