Identify “stringy” analogs of Minkowski-sum and u-variable structures for cosmological observables

Identify the analog or extension of the Minkowski-sum/Newton-polytope and u-variable framework that, for cosmohedra and correlahedra, would lead to a string-like formulation of cosmological wavefunctions and correlators, generalizing the particle-to-string transition known from associahedra.

Background

For amplitudes, the Minkowski-sum decomposition of associahedra connects particle amplitudes to stringy integrals. The authors speculate that an analogous structure may exist for cosmology, potentially yielding a worldsheet-like formulation for wavefunctions and correlators.

Currently, there is no useful perturbative worldsheet for cosmological observables. Discovering such a structure for cosmohedra/correlahedra could mirror the particle-to-string leap and unify cosmological observables within a stringy framework.