Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-08-20
Nucl.Phys. B650 (2003) 449-474
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, no figure, minor corrections, reference added
Scientific paper
10.1016/S0550-3213(02)01073-8
Asymptotically locally conical (ALC) metric of exceptional holonomy has an asymptotic circle bundle structure that accommodates the M theory circle in type IIA reduction. Taking Spin(7) metrics of cohomogeneity one as explicit examples, we investigate deformations of ALC metrics, in particular that change the asymptotic S^1 radius related to the type IIA string coupling constant. When the canonical four form of Spin(7) holonomy is taken to be anti-self-dual, the deformations of Spin(7) metric are related to the harmonic self-dual four forms, which are given by solutions to a system of first order differential equations, due to the metric ansatz of cohomogeneity one. We identify the L^2-normalizable solution that deforms the asymptotic radius of the M theory circle.
Kanno Hiroaki
Yasui Yukinori
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