TRAP conjecture for distribution-valued meromorphic germs

Let Mlin(Cn,Dreg((Rd)N))\mathcal{M}_{\mathrm{lin}}(\mathbb{C}^n,\mathcal{D}'_{\mathrm{reg}}((\mathbb{R}^d)^{\otimes N})) denote the space of distribution-valued meromorphic germs with linear poles, and take the inductive limit over the number of variables. A TRAP is the structure consisting of horizontal concatenations, partial traces, and symmetric-group actions satisfying the TRAP axioms. TRAP conjecture. The inductive limit of the spaces of meromorphic germs with linear poles and values in distributions carries a TRAP structure. This is proposed as the algebraic framework for organizing regularised Feynman rules; the conjecture is not resolved in the source.

Sources & referencesView supporting material

Primary source

Pierre J. Clavier, “TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories”, arXiv:2506.09493 (2025).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.