@article{KegelesOritiTomlin2018,
  author    = {Kegeles, Alexander and Oriti, Daniele and Tomlin, Casey},
  title     = {Inequivalent coherent state representations in group field theory},
  series = {Classical and quantum gravit},
  volume    = {35},
  journal   = {Classical and quantum gravit},
  number    = {12},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {0264-9381},
  doi       = {10.1088/1361-6382/aac39f},
  pages     = {23},
  year      = {2018},
  abstract  = {In this paper we propose an algebraic formulation of group field theory and consider non-Fock representations based on coherent states. We show that we can construct representations with an infinite number of degrees of freedom on compact manifolds. We also show that these representations break translation symmetry. Since such representations can be regarded as quantum gravitational systems with an infinite number of fundamental pre-geometric building blocks, they may be more suitable for the description of effective geometrical phases of the theory.},
  language  = {en}
}