Noether's Charge in the Super-Group Field Cosmology

Abstract

In this paper we will analyse the third quantization of a model of super-group field cosmology with gauge symmetry. The effect of creation and annihilation of bosonic and fermionic universes in the multiverse will also be analysed. We will also construct a third quantized Noether's charge which will be conserved even when the number of universes is not conserved. Finally, we will construct both the third quantized BRST and the third quantized anti-BRST charges for this theory and use them to show that the creation and annihilation of universes is a unitarity process.

10 pages, 0 figures

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• Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex
• Super-Group Field Cosmology
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