On Dijkgraaf-Witten Type Invariants

Details On Dijkgraaf-Witten Type Invariants On Dijkgraaf-Witten Type Invariants

1994-02-24

arxiv.org/abs/hep-th/9402138v1

Lett.Math.Phys. 37 (1996) 363-374

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/BF00312668

We explicitly construct a series of lattice models based upon the gauge group $Z_{p}$ which have the property of subdivision invariance, when the coupling parameter is quantized and the field configurations are restricted to satisfy a type of mod-$p$ flatness condition. The simplest model of this type yields the Dijkgraaf-Witten invariant of a $3$-manifold and is based upon a single link, or $1$-simplex, field. Depending upon the manifold's dimension, other models may have more than one species of field variable, and these may be based on higher dimensional simplices.

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