Super-Group Field Cosmology
arXiv:1209.2346 · doi:10.1088/0264-9381/29/21/215009
Abstract
In this paper we construct a model for group field cosmology. The classical equations of motion for the non-interactive part of this model generate the Hamiltonian constraint of loop quantum gravity for a homogeneous isotropic universe filled with a scalar matter field. The interactions represent topology changing processes that occurs due to joining and splitting of universes. These universes in the multiverse are assumed to obey both bosonic and fermionic statistics, and so a supersymmetric multiverse is constructed using superspace formalism. We also introduce gauge symmetry in this model. The supersymmetry and gauge symmetry are introduced at the level of third quantized fields, and not the second quantized ones. This is the first time that supersymmetry has been discussed at the level of third quantized fields.
14 pages, 0 figures, accepted for publication in Class. Quant. Grav
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- Constraints on Operator Ordering from Third Quantization
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- Super-group field cosmology in Batalin-Vilkovisky formulation
- Wave Function of the Universe from a Matrix Valued First-Order Formalism
- Renormalizability of Supersymmetric Group Field Cosmology
- Basic Brackets of a 2D Model for the Hodge Theory without its Canonical Conjugate Momenta
- Virtual Black Holes in a Third Quantized Formalism
- General Formalism For the BRST Symmetry
- Four dimensional gravity as an almost Poisson system
- M-Theory on Complex Spacetime