Discrete Gravity Models and Loop Quantum Gravity: a Short Review

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Dupuis, M., Ryan, J.P., Speziale, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148392
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Discrete Gravity Models and Loop Quantum Gravity: a Short Review / M. Dupuis, J.P. Ryan, S. Speziale // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 123 назв. — англ.

We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the...