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arXiv · 1012.4087

A simple proof of orientability in colored group field theory

Francesco Caravelli
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Abstract

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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Francesco Caravelli. 2011-11-01. A simple proof of orientability in colored group field theory. https://doi.org/10.1186/2193-1801-1-6

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