A simple proof of orientability in colored group field theory
classification
🧮 math-ph
gr-qcmath.MP
keywords
orientabilityfieldgrouptheoryassociatedcolorcoloredcrystallizations
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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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