120 citations
- Centre National de la Recherche ScientifiqueFR9 papers
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4 papers · 1 filter
On terminal forms for topological polynomials for ribbon graphs: The -petal flower
Remi C. Avohou, Joseph Ben Geloun, Etera R. Livine
The Bollobas-Riordan polynomial [Math. Ann. 323, 81 (2002)] extends the Tutte polynomial and its contraction/deletion rule for ordinary graphs to ribbon graphs. Given a ribbon grap…
Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
Dine Ousmane Samary, Fabien Vignes-Tourneret
We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. From our analysis, we prove the just renorma…
Some classes of renormalizable tensor models
Joseph Ben Geloun, Etera R. Livine
We identify new families of renormalizable of tensor models from anterior renormalizable tensor models via a mapping capable of reducing or increasing the rank of the theory withou…
Enhanced quantization on the circle
Joseph Ben Geloun, John R. Klauder
We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can…