A structured review of the three main Hilbert space formalisms for group field theory, with emphasis on their assumptions and conceptual connections.
Ten questions on Group Field Theory (and their tentative answers)
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abstract
We provide a short and non-technical summary of our current knowledge and some possible perspectives on the group field theory formalism for quantum gravity, in the form of a (partial) FAQ (with answers). Some of the questions and answers relate to aspects of the formalism that concern loop quantum gravity. This summary also aims at giving a brief, rough guide to the recent literature on group field theory (and tensor models).
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gr-qc 1years
2024 1verdicts
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Hilbert space formalisms for group field theory
A structured review of the three main Hilbert space formalisms for group field theory, with emphasis on their assumptions and conceptual connections.