TL;DR
This paper reviews recent mathematical methods used in the constructive approach to tensor, vector, and matrix field theories, emphasizing the tools rather than specific models.
Contribution
It offers an overview of the latest mathematical techniques applied in the constructive analysis of tensor field theories, highlighting methodological advances.
Findings
Summarizes key mathematical tools used in constructive tensor field theory
Highlights recent progress in rigorous analysis of tensor models
Provides a comprehensive overview of the constructive program
Abstract
We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.
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