Year: 1997
Type: article
Abstract: We make a direct connection between the construction of three-dimensional topological state sums from tensor categories and three-dimensional quantum gravity by noting that the discrete version of the Wheeler - DeWitt equation is exactly the pentagon for the associator of the tensor category - the Biedenharn - Elliott identity. A crucial role is played by an asymptotic formula relating 6j-symbols to rotation matrices given by Edmonds.
Source: Classical and Quantum Gravity
Authors: John W Barrett, Louis Crane
Institutions: University of Nottingham, Kansas State University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2026563675