Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Author: Obster, Dennis
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212008
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models. Dennis Obster. SIGMA 19 (2023), 076, 43 pages

The quest for a consistent theory for quantum gravity is one of the most challenging problems in theoretical high-energy physics. An often-used approach is to describe the gravitational degrees of freedom by the metric tensor or related variables, and to find a way to quantise this. In the canonical...