On Spin(7) holonomy metric based on SU(3)/U(1)

نویسندگان

  • Hiroaki Kanno
  • Yukinori Yasui
چکیده

We investigate the Spin(7) holonomy metric of cohomogeneity one with the principal orbit SU(3)/U(1). A choice of U(1) in the two dimensional Cartan subalgebra is left as free and this allows manifest Σ3 = W (SU(3)) (= the Weyl group) symmetric formulation. We find asymptotically locally conical (ALC) metrics as octonionic gravitational instantons. Complex projective space CP(2) that is a supersymmetric four-cycle appears as a singular orbit and we make a perturbative analysis of the solution near the singular orbit. The global topology of the manifold depends on a choice of the U(1) subgroup. We also obtain an L2-normalisable harmonic 4-form in the background of the ALC metric. e-mail: [email protected] e-mail: [email protected]

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تاریخ انتشار 2001