Thermofield double states in group field theory

Group field theories are higher-rank generalizations of matrix/tensor models, and encode the simplicial geometries quantum gravity. In this paper, we study thermofield double states in group theories. The starting point is equilibrium Gibbs theory recently found by Kotecha Oriti, based on which construct state as a “thermal” vacuum respecting Kubo–Martin–Schwinger condition. We work with Weyl [Formula: see text]-algebra fields, particular type single symmetry obtained from squeezed algebra. states, when viewed Fock vacuum, condensate at finite flow parameter text]. suggest that parameters text] pictures black hole horizon cosmology related to inverse temperatures gravitational thermodynamics.