5 papers
Global variables and dynamics of emergent cosmology in loop gravity
Iñaki Garay, Luis J. Garay, Diego H. Gugliotta +2
Deriving emergent cosmology from the discrete geometry of Loop Quantum Gravity remains an open challenge. We solve the two-vertex model exactly, including general non-symmetric con…
Area bounds and gauge fixing: alternative canonical variables for loop gravity
Iñaki Garay, Sergio Rodríguez-González, Raül Vera
We use a canonical parametrization of twisted geometries describing the classical phase space of loop quantum gravity on a fixed graph, and establish its explicit correspondence wi…
Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW
Iñaki Garay, Sergio Rodríguez-González, Raül Vera
The cosmological behavior associated to a U(N)-symmetry reduced sector of the loop-quantum-gravity truncation known as the two-vertex model is further explored in this work. We con…
The two-vertex model of loop quantum gravity: anisotropic reduced sectors
Iñaki Garay, Luis J. Garay, Diego H. Gugliotta
The so-called two-vertex model of loop quantum gravity has been analytically studied in the past within a U() symmetry-reduced sector leading to a cosmological interpretation. I…
Geometric Formula for 2d Ising Zeros: Examples & Numerics
Iñaki Garay, Etera R. Livine
A geometric formula for the zeros of the partition function of the inhomogeneous 2d Ising model was recently proposed in terms of the angles of 2d triangulations embedded in the fl…