Monoid spaces and linearized gravity

70 & 70 Gravitation Fest

Contreras, E.^1,2 ; Di Bartolo, C.^2 ; Leal, L.^2,3

Departamento de Física, Universidad de Los Andes, Apartado Aéreo 4976, Bogotá, Distrito Capital, Colombia^1

Departamento de Física, Universidad Simón Bolívar, Apartado Postal 89000, Caracas

1080-A, Venezuela^2

Centro de Física Teórica y Computacional, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas

1041-A, Venezuela^3

关键词: Abelian group;    Extended objects;    Geometrical interpretation;    Quantum gravity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/831/1/012008/pdf
DOI  :  10.1088/1742-6596/831/1/012008

来源: IOP

【 摘 要 】

We propose an alternative representation for linear quantum gravity. It is based on the use of a structure that bears some resemblance to the Abelian loop representation used in electromagnetism but with the difference that the space of extended object on which waves functions take values has a structure of commutative monoide instead of Abelian group. The generator of duality of the theory is realized in this representation and a geometrical interpretation is discussed.