✦ LIBER ✦

Killing spinor equations in dimension 7 and geometry of integrable G2-manifolds

✍ Scribed by Thomas Friedrich; Stefan Ivanov

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 107 KB
Volume: 48
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(03)00005-6

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✦ Synopsis

We compute the scalar curvature of seven-dimensional G 2 -manifolds admitting a G 2 -connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar curvature of the solution in terms of the dilation function and the NS 3-form field. In dimension n = 7 the dilation function involved in the second fermionic string equation has an interpretation as a conformal change of the underlying integrable G 2 -structure into a cocalibrated one of pure type W 3 .

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