Inequivalent coherent state representations in Group Field Theory

Alexander Kegeles, Daniele Oriti, Casey Tomlin

Published 2017-09-01Version 1

In this paper we introduce the algebraic formulation for group field theory and study non-Fock (condensate) representations based on coherent states. We show that we can construct representation with infinite number of particles in group field theories on compact base manifolds, similarly to what one can do on non-compact manifolds. We also show that the constructed representations break translation symmetry. Since such representations describe quantum gravity systems with infinite number of fundamental pre-geometric building blocks, they can be more suitable for description of effective spatiotemporal phases of the theory.