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
Crystallography is a branch of physics that studies the properties of crystals. The atoms that make ...
Matroids and oriented matroids are fundamental objects in combinatorial geometry. While matroids mod...
International audienceBosonic colored group field theory is considered. Focusing first on dimension ...
In this short note we use results from the theory of crystallizations to prove that color in group f...
Group Field Theories (GFT) are quantum field theories over group manifolds; they can be seen as a ge...
In this paper we construct a methodology for separating the divergencies due to different topologica...
Based on recent work on simplicial diffeomorphisms in colored group field theories, we develop a rep...
We introduce moduli spaces of colored graphs, defined as spaces of non-degenerate metrics on certain...
AbstractLet A be an abelian group. The graph G is A-colorable if for every orientation G→ of G and f...
We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently intr...
Crystallization theory is a combinatorial representation of piecewise-linear (closed connected) mani...
This thesis is composed of several different parts. We start with an investigation of an important p...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
AbstractIn this paper we define oriented matroids and develop their fundamental properties, which le...
We explore properties of a generalized \coloring " of a knot including existence, changes in re...
Crystallography is a branch of physics that studies the properties of crystals. The atoms that make ...
Matroids and oriented matroids are fundamental objects in combinatorial geometry. While matroids mod...
International audienceBosonic colored group field theory is considered. Focusing first on dimension ...
In this short note we use results from the theory of crystallizations to prove that color in group f...
Group Field Theories (GFT) are quantum field theories over group manifolds; they can be seen as a ge...
In this paper we construct a methodology for separating the divergencies due to different topologica...
Based on recent work on simplicial diffeomorphisms in colored group field theories, we develop a rep...
We introduce moduli spaces of colored graphs, defined as spaces of non-degenerate metrics on certain...
AbstractLet A be an abelian group. The graph G is A-colorable if for every orientation G→ of G and f...
We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently intr...
Crystallization theory is a combinatorial representation of piecewise-linear (closed connected) mani...
This thesis is composed of several different parts. We start with an investigation of an important p...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
AbstractIn this paper we define oriented matroids and develop their fundamental properties, which le...
We explore properties of a generalized \coloring " of a knot including existence, changes in re...
Crystallography is a branch of physics that studies the properties of crystals. The atoms that make ...
Matroids and oriented matroids are fundamental objects in combinatorial geometry. While matroids mod...
International audienceBosonic colored group field theory is considered. Focusing first on dimension ...
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