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
The aim of this paper is twofold. On the one hand, it provides a review of the links between random ...
Group field theories have recently been shown to admit a 1/N expansion dominated by so-called `melon...
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...
Based on recent work on simplicial diffeomorphisms in colored group field theories, we develop a rep...
We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently intr...
In this paper we construct a methodology for separating the divergencies due to different topologica...
A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several t...
From a “geometric topology” point of view, the theory of manifold representation by means of edge-co...
A strong interaction is known to exist between edge-colored graphs (which encode PL pseudo-manifolds...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
Through the question of singular topologies in the Boulatov model, we illustrate and summarize some ...
11 pagesIn the context of quantum gravity, group field theories are field theories that generate spi...
This thesis is devoted to the study of 3-dimensional quantum gravity as a spin foam model and group ...
The aim of this paper is twofold. On the one hand, it provides a review of the links between random ...
Group field theories have recently been shown to admit a 1/N expansion dominated by so-called `melon...
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...
Based on recent work on simplicial diffeomorphisms in colored group field theories, we develop a rep...
We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently intr...
In this paper we construct a methodology for separating the divergencies due to different topologica...
A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several t...
From a “geometric topology” point of view, the theory of manifold representation by means of edge-co...
A strong interaction is known to exist between edge-colored graphs (which encode PL pseudo-manifolds...
Group field theories are a generalization of matrix models which provide both a second quantized ref...
Through the question of singular topologies in the Boulatov model, we illustrate and summarize some ...
11 pagesIn the context of quantum gravity, group field theories are field theories that generate spi...
This thesis is devoted to the study of 3-dimensional quantum gravity as a spin foam model and group ...
The aim of this paper is twofold. On the one hand, it provides a review of the links between random ...
Group field theories have recently been shown to admit a 1/N expansion dominated by so-called `melon...
International audienceBosonic colored group field theory is considered. Focusing first on dimension ...
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