M-theory Conifolds
高能物理 - 理论
2009-09-17 v1
摘要
Seven-manifolds of G_2 holonomy provide a bridge between M-theory and string theory, via Kaluza-Klein reduction to Calabi-Yau six-manifolds. We find first-order equations for a new family of G_2 metrics D_7, with S^3\times S^3 principal orbits. These are related at weak string coupling to the resolved conifold, paralleling earlier examples B_7 that are related to the deformed conifold, allowing a deeper study of topology change and mirror symmetry in M-theory. The D_7 metrics' non-trivial parameter characterises the squashing of an S^3 bolt, which limits to S^2 at weak coupling. In general the D_7 metrics are asymptotically locally conical, with a nowhere-singular circle action.
引用
@article{arxiv.hep-th/0112098,
title = {M-theory Conifolds},
author = {M. Cvetic and G. W. Gibbons and H. Lu and C. N. Pope},
journal= {arXiv preprint arXiv:hep-th/0112098},
year = {2009}
}
备注
Latex, 7 pages