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

[摘要] 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. (C) 2003 Elsevier Science B.V. All rights reserved.

[发布日期] 2003-10-01

[关键词] G(2)-structures;string equations