R-module theory for descendants in leading OPE terms

Extend the KSW cyclic R-module construction to the one-point functions associated with descendant vectors when every pair attaining the minimal short-distance exponent occurs at positive descendant level.

Background

The leading short-distance coefficient of a torus n-point function is expressed as a finite sum of torus one-point functions associated with minimizing fusion channels and descendant levels. The KSW cyclic R-module machinery applies directly when a minimizing contribution comes from a lowest-weight torus-primary vector, but the paper does not provide an R-module description when all minimizing contributions occur at positive descendant level.