5 problems
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All-order explicit solvability of the beta-functions for enhanced tensor field theories
The two enhanced tensor field theory models considered here have tensor rank , background group dimension , and kinetic and vertex parameters and ; model is studie…
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Conjecture on the novelty of tensor field theory cardinality sequences
Novelty conjecture. For several values of the cardinality functions, several other sequences are new.
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Da Prato–Debussche local well-posedness conjecture for super-renormalizable tensor field theories
Consider the Langevin dynamic for the tensor field theory, with the dimension treated as a real parameter by changing the regularity of the noise or by using fractional Lapla…
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Stirling-number formula for the all-order quartic melonic two-point function
All-order two-point-function conjecture. For every order in the coupling,
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Existence of further renormalizable enhanced tensor field theories
The models under consideration use propagators of the form … with asymmetric and symmetric enhanced interactions, including momentum-dependent quartic terms and their associated qu…