Matter from geometry

Sheldon Katz, Cumrun Vafa
1997 Nuclear Physics B  
We provide a local geometric description of how charged matter arises in type IIA, M-theory, or F-theory compactifications on Calabi-Yau manifolds. The basic idea is to deform a higher singularity into a lower one through Cartan deformations which vary over space. The results agree with expectations based on string dualities.
doi:10.1016/s0550-3213(97)00280-0 fatcat:lkl2l7iqtbbf3adherlnszzfzu