1999/02/12 by Chien‐Hao Liu, Chien-Hao Liu, Liu, Chien-Hao
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9902092
39 pages
arxiv created 1999/02/12 · openalex publication_date 1999/02/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
M-theory suggests the study of 11-dimensional space-times compactified on some 7-manifolds. From its intimate relation to superstrings, one possible class of such 7-manifolds are those that have Calabi-Yau threefolds as boundary. In this article, we construct a special class of such 7-manifolds, named as \it K3-Thurston (K3T) 7-manifolds. The factor from the K3 part of the deformation space of these K3T 7-manifolds admits a Kähler structure, while the factor of the deformation space from the Thurston part admits a special Kähler structure. The latter rings with the nature of the scalar manifold of a vector multiplet in an N=2 d=4 supersymmetric gauge theory. Remarks and examples on more general K3T 7-manifolds and issues to possible interfaces of K3T to M-theory are also discussed.