More 5d KK theories
Lakshya Bhardwaj
TL;DR
The paper tackles the construction of 5d KK theories from 6d SCFTs on a circle in cases where a geometric M-theory CY3 background is not known. It develops a building-block framework with new CY3 geometries and explicit gluing rules to assemble complex KK theories, and shows how to extract the resulting 5d low-energy gauge theories and matter content from CY3 data and fiber contractions. By classifying twists (outer automorphism actions) and linking gluing data to permutation twists via an Omega matrix, the work extends the geometric engineering approach to a broader class of 5d SCFTs and provides consistency checks across glued blocks. Overall, the results enhance the systematic construction and classification of 5d KK theories through geometric data, enabling broader exploration of the extended Coulomb branch and associated 6d origins.
Abstract
In this note, we discuss circle compactifications of 6d SCFTs for which a geometric M-theory construction is not known in previous literature.