Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-11
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, NSF-ITP-93-30
Scientific paper
10.1111/j.1749-6632.1993.tb43924
The role in string theory of manifolds of complex dimension $D_{crit} + 2(Q-1)$ and positive first Chern class is described. In order to be useful for string theory, the first Chern class of these spaces has to satisfy a certain relation. Because of this condition the cohomology groups of such manifolds show a specific structure. A group that is particularly important is described by $(D_{crit} + Q-1, Q-1)$--forms because it is this group which contains the higher dimensional counterpart of the holomorphic $(D_{crit}, 0)$--form that figures so prominently in Calabi--Yau manifolds. It is shown that the higher dimensional manifolds do not, in general, have a unique counterpart of this holomorphic form of rank $D_{crit}$. It is also shown that these manifolds lead, in general, to a number of additional modes beyond the standard Calabi--Yau spectrum. This suggests that not only the dilaton but also the other massless string modes, such as the antisymmetric torsion field, might be relevant for a possible stringy interpretation.
No associations
LandOfFree
Critical Strings from Noncritical Dimensions: A Framework for Mirrors of Rigid Vacau does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical Strings from Noncritical Dimensions: A Framework for Mirrors of Rigid Vacau, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical Strings from Noncritical Dimensions: A Framework for Mirrors of Rigid Vacau will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-407928