SU(3)-instantons and $G_2, Spin(7)$-heterotic string solitons
Abstract
Necessary and sufficient conditions to the existence of a hermitian connection with totally skew-symmetric torsion and holonomy contained in SU(3) are given. Non-compact solution to the supergravity-type I equations of motion with non-zero flux and non-constant dilaton is found in dimensions 6. Non-conformally flat non-compact solutions to the supergravity-type I equations of motion with non-zero flux and non-constant dilaton are found in dimensions 7 and 8. A Riemannian metric with holonomy contained in arises from our considerations and Hitchin's flow equations, which seems to be new. Compact examples of and instanton satisfying the anomaly cancellation conditions are presented.
Keywords
Cite
@article{arxiv.math/0312094,
title = {SU(3)-instantons and $G_2, Spin(7)$-heterotic string solitons},
author = {Petar Ivanov and Stefan Ivanov},
journal= {arXiv preprint arXiv:math/0312094},
year = {2009}
}
Comments
LaTex, 22 pages, Corrected anomaly cancellation, final version to appear in Commun. Math. Phys