Calabi‐Yau Threefolds with Small Hodge Numbers

A list of Calabi‐Yau threefolds is presented with holonomy groups that are precisely , rather than a subgroup, with small Hodge numbers, which are understood to be those manifolds with height . With the completion of a project to compute the Hodge numbers of free quotients of complete intersection Calabi‐Yau threefolds, most of which were computed in Refs. [1–3] and the remainder in Ref. [4], many new points have been added to the tip of the Hodge plot, updating the reviews by Davies and Candelas in Refs. [1,5]. In view of this and other recent constructions of Calabi‐Yau threefolds with small height, an updated list is produced.