126 citations · 739 across the 18 of their papers we have counts for
19 papers
Borel summability of the 1/N expansion in quartic O(N)-vector models
Léonard Ferdinand, Razvan Gurau, Carlos I. Perez-Sanchez +1
We consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prove the Borel summability in 1/N along the real axis of the partition function and of the connected c…
On a conjecture of Gross, Mansour and Tucker
Sergei Chmutov, Fabien Vignes-Tourneret
Partial duality is a duality of ribbon graphs relative to a subset of their edges generalizing the classical Euler-Poincare duality. This operation often changes the genus. Recentl…
Can we make sense out of "Tensor Field Theory"?
Vincent Rivasseau, Fabien Vignes-Tourneret
We continue the constructive program about tensor field theory through the next natural model, namely the rank five tensor theory with quartic melonic interactions and propagator i…
Constructive tensor field theory: The model
Vincent Rivasseau, Fabien Vignes-Tourneret
We continue our constructive study of tensor field theory through the next natural model, namely the rank four tensor theory with quartic melonic interactions and propagator invers…
Correlation functions of just renormalizable tensorial group field theory: The melonic approximation
Dine Ousmane Samary, Carlos I. Pérez-Sánchez, Fabien Vignes-Tourneret +1
The -colored version of tensor models has been shown to admit a large -limit expansion. The leading contributions result from so-called melonic graphs which are dual to the $…
Partial duality of hypermaps
Sergei Chmutov, Fabien Vignes-Tourneret
We introduce partial duality of hypermaps, which include the classical Euler-Poincaré duality as a particular case. Combinatorially, hypermaps may be described in one of three ways…