AN ALGEBRAIC INTERPRETATION OF THE WHEELER-DEWITT EQUATION

Authors
BARRETT JW CRANE L
Citation
Jw. Barrett et L. Crane, AN ALGEBRAIC INTERPRETATION OF THE WHEELER-DEWITT EQUATION, Classical and quantum gravity, 14(8), 1997, pp. 2113-2121
Citations number
17
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
8
Year of publication
1997
Pages
2113 - 2121
Database
ISI
SICI code
0264-9381(1997)14:8<2113:AAIOTW>2.0.ZU;2-T
Abstract
We make a direct connection between the construction of three-dimensio nal topological state sums from tensor categories and three-dimensiona l quantum gravity by noting that the discrete version of the Wheeter-D eWitt equation is exactly the pentagon for the associator of the tenso r category-the Biedenharn-Elliott identity. A crucial role is played b y an asymptotic formula relating 6j-symbols to rotation matrices given by Edmonds.