A simple proof of orientability in colored group field theory

Details A simple proof of orientability in colored group field theory A simple proof of orientability in colored group field theory

2010-12-18

arxiv.org/abs/1012.4087v2

Physics

Mathematical Physics

5 pages two columns, 3 figures; presentation improved, title changed

Scientific paper

In this short note we use results from the theory of crystallizations to
prove that color in group field theories garantees orientability of the
piecewise linear pseudo-manifolds associated to each graph generated
perturbatively. The origin of orientability is the presence of two interaction
vertices.

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