Parallel spinors and connections with skew-symmetric torsion in string theory.
type: Item
instance of: scholarly article
title: Parallel spinors and connections with skew-symmetric torsion in string theory.
zbMATH Open document ID: 1127.53304
author: Thomas Friedrich
author: Stefan Ivanov
published in: The Asian Journal of Mathematics
publication date: 2003-10-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0102142
review text: 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 partial solutions of the type II string equations in dimensions \(n = 5\), 6 and 7.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 58J60
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 1925761
zbMATH Keywords: \(G_2\)-structures
zbMATH Keywords: skew-symmetric torsion tensor
zbMATH Keywords: parallel spinors
zbMATH Keywords: type II string equations
MaRDI profile type: Publication
arXiv ID: math/0102142
OpenAlex ID: W2149890214
Wikidata QID: Q125817295
DOI: 10.4310/AJM.2002.V6.N2.A5
description: scientific article