On K3Thurston 7manifolds and their deformation space: A case study with remarks on general K3T and Mtheory compactification
Abstract
Mtheory suggests the study of 11dimensional spacetimes compactified on some 7manifolds. From its intimate relation to superstrings, one possible class of such 7manifolds are those that have CalabiYau threefolds as boundary. In this article, we construct a special class of such 7manifolds, named as {\it K3Thurston} (K3T) 7manifolds. The factor from the K3 part of the deformation space of these K3T 7manifolds 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 7manifolds and issues to possible interfaces of K3T to Mtheory are also discussed.
 Publication:

arXiv eprints
 Pub Date:
 February 1999
 arXiv:
 arXiv:hepth/9902092
 Bibcode:
 1999hep.th....2092L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 39 pages