Parallel Spinors and Connections with Skew-Symmetric Torsion in String Theory (2001)
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by
Thomas Friedrich
,
Stefan Ivanov
| Citations: | 89 - 5 self |
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@MISC{Friedrich01parallelspinors,
author = {Thomas Friedrich and Stefan Ivanov},
title = {Parallel Spinors and Connections with Skew-Symmetric Torsion in String Theory},
year = {2001}
}
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Abstract
We describe all almost contact metric, almost hermitian and G2-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 r-parallel spinors. In particular, we obtain solutions of the type II string equations in dimension n = 5; 6 and 7.
