Generalized Barrett-Crane Vertices and Invariants of Embedded Graphs

Details Generalized Barrett-Crane Vertices and Invariants of Embedded Graphs Generalized Barrett-Crane Vertices and Invariants of Embedded Graphs

1998-01-28

arxiv.org/abs/math/9801131v1

Mathematics

Quantum Algebra

15 pages LaTeX 1, Encapulated PostScript figure, other LaTex figs

Scientific paper

We describe q-analogues of the 4-vertices in the Spin(4)-recoupling theory
introduced by Barrett and Crane in gr-qc/9709028 using Kauffman-Lins
SU(2)-recoupling theory in each factor and generalize them to obtain operators
with the symmetry properties of unframed n-vertices. The elementary properties
of the resulting invariants of embedded unframed graphs are examined.

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