Renormalizability of Supersymmetric Group Field Cosmology

Abstract

In this paper we consider the gauge invariant third quantized model of supersymmetric group field cosmology. The supersymmetric BRST invariance for such theory in non-linear gauge is also analysed. The path integral formulation to the case of a multiverse made up of homogeneous and isotropic spacetimes filled with a perfect fluid is presented. The renormalizability for the scattering of universes in multiverse are established with suitably constructed master equations for connected diagrams and proper vertices. The Slavnov-Taylor identities for this theory hold to all orders of radiative corrections.

10 pages, No figure, Published in General Relativity and Gravitation

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Cited by in corpus (4)

• Nilpotent Symmetries in Super-Group Field Cosmology
• Constraints on Operator Ordering from Third Quantization
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Wave Function of the Universe from a Matrix Valued First-Order Formalism