Duality between Spin networks and the 2D Ising model

V Bonzom, F Costantino, ER Livine - Communications in Mathematical …, 2016 - Springer
The goal of this paper is to exhibit a deep relation between the partition function of the Ising
model on a planar trivalent graph and the generating series of the spin network evaluations …

Ising model from intertwiners

B Dittrich, J Hnybida - Annales de l'Institut Henri Poincaré D, 2016 - ems.press
Spin networks appear in a number of areas, for instance in lattice gauge theories and in
quantum gravity. They describe the contraction of intertwiners according to the underlying …

2d Ising Critical Couplings from Quantum Gravity

V Bonzom, ER Livine - arXiv preprint arXiv:2405.01253, 2024 - arxiv.org
Using an exact holographic duality formula between the inhomogeneous 2d Ising model
and 3d quantum gravity, we provide a formula for" real" zeroes of the 2d Ising partition …

Self-duality of the -symbol and Fisher zeros for the tetrahedron

V Bonzom, ER Livine - Annales de l'Institut Henri Poincaré D, 2022 - ems.press
The relation between the 2d Ising partition function and spin network evaluations, reflecting
a bulk-boundary duality between the 2d Ising model and 3d quantum gravity, promises an …

Combinatorial decompositions for deformed or decorated classes of maps

V Nador - arXiv preprint arXiv:2312.00056, 2023 - arxiv.org
The perturbative expansion of tensorial field theories in Feynman graphs can be interpreted
as weighted generating series of some piecewise linear varieties. This simple fact …

Combinatorial decomposition for decorated or deformed classes of maps

V Nador - 2023 - theses.hal.science
The perturbative expansion of tensorial field theories in Feynman graphs can be interpreted
as weighted generating series of some piecewise linear varieties. This simple fact …

Reciprocity of the Wigner derivative for spherical tetrahedra

B Bartlett, VH Ranaivomanana - Quaestiones Mathematicae, 2023 - Taylor & Francis
The Wigner derivative is the partial derivative of dihedral angle with respect to opposite
edge length in a tetrahedron, all other edge lengths remaining fixed. We compute the …

Investigations on the Wigner derivative and on an integral formula for the quantum 6j symbols

VH Ranaivomanana - 2022 - scholar.sun.ac.za
Abstract ENGLISH SUMMARY: wo separate studies are done in this thesis: 1. TheWigner
derivative is the partial derivative of dihedral angle with respect to opposite edge length in a …

[PDF][PDF] DE L'UNIVERSITÉ DE BORDEAUX

V NADOR - 2023 - vnador.free.fr
The perturbative expansion of tensorial field theories in Feynman graphs can be interpreted
as weighted generating series of some piecewise linear varieties. This simple fact …