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Behrndt, Klaus; Dall’agata, Gianguido; Lüst, Dieter; Mahapatra, Swapna

Intersecting 6-branes from new 7-manifolds with \(G_{2}\) holonomy. (English) Zbl 1226.81157

J. High Energy Phys. 2002, No. 8, 027, 24 p. (2002).
Summary: We discuss a new family of metrics of 7-manifolds with \(G_{2}\) holonomy, which are \(\mathbb{R}^{3}\) bundles over a quaternionic space. The metrics depend on five parameters and have two abelian isometries. Certain singularities of the \(G_{2}\) manifolds are related to fixed points of these isometries; there are two combinations of Killing vectors that possess co-dimension four fixed points which yield upon compactification only intersecting D6-branes if one also identifies two parameters. Two of the remaining parameters are quantized and we argue that they are related to the number of D6-branes, which appear in three stacks. We perform explicitly the reduction to the type IIA model.

Cited in 7 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C29 Issues of holonomy in differential geometry
81T60 Supersymmetric field theories in quantum mechanics
83E30 String and superstring theories in gravitational theory
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