Parallel spinors and connections with skew-symmetric torsion in string theory

Thomas Friedrich; Stefan Ivanov

Parallel spinors and connections with skew-symmetric torsion in string theory

Differential Geometry 2008-11-26 v5 High Energy Physics - Theory

Authors: Thomas Friedrich , Stefan Ivanov

Abstract

We describe all almost contact metric, almost hermitian and $G_2$ -structures admitting a connection with totally skew-symmetric torsion tensor, and prove that there exists at most one such connection. We investigate its torsion form, its Ricci tensor, the Dirac operator and the $\nabla$ -parallel spinors. In particular, we obtain solutions of the type II string in dimension $n=5,6$ and 7.

Keywords

parallel spinors skew-symmetric torsion almost contact metric structures almost hermitian structures g2-structures dirac operator type ii string

Cite

@article{arxiv.math/0102142,
  title  = {Parallel spinors and connections with skew-symmetric torsion in string theory},
  author = {Thomas Friedrich and Stefan Ivanov},
  journal= {arXiv preprint arXiv:math/0102142},
  year   = {2008}
}

Comments

Latex2e, 35 pages

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