A discrete approach to topological quantum field theories (Q687737)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A discrete approach to topological quantum field theories |
scientific article; zbMATH DE number 436570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete approach to topological quantum field theories |
scientific article; zbMATH DE number 436570 |
Statements
A discrete approach to topological quantum field theories (English)
0 references
4 January 1994
0 references
A rather general scheme for constructing three-dimensional Euclidean topological quantum field theories is described. A basic construction uses \(6j\)-symbols defined for a finite semisimple tensor category of representations of some bialgebra. The examples of the algebra of functions over a finite group, and the group algebra of a finite group, and the quantum deformation of the enveloping algebra of a simple Lie algebra are discussed. An explicit connection with the Dijkgraaf-Witten model is established.
0 references
\(6j\)-symbols
0 references
Euclidean topological quantum field theories
0 references
tensor category
0 references
Dijkgraaf-Witten model
0 references
0 references
