A simple proof of orientability in colored group field theory

Caravelli, Francesco

doi:10.1186/2193-1801-1-6

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A simple proof of orientability in colored group field theory

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Caravelli, Francesco
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1012.4087
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Caravelli, F. (2012). A simple proof of orientability in colored group field theory. SpringerPlus, 1: 6. doi:10.1186/2193-1801-1-6.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EE7D-6

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.