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- W2114568312 abstract "The seven-dimensional coset manifolds SU(2) ⊗ SU(2) ⊗ SU(2)U(1) ⊗ U(1) = GH are characterized by three integer numbers p, q, r describing the embedding of the H = U(1) ⊗ U(1) subgroup in SU(2) ⊗ SU(2) ⊗ SU(2). On each coset one can construct on Einstein G-invariant metric leading to a solution of d = 11 supergravity. In general the holonomy group is SO(7), but for p = q = r = 1 it is SU(3) which allows the existence of two covariantly constant spinors ηA. These latter are actually constant and kα = ϵABηAταηB is an additionalaa Killing vector which extends the symmetry of G/H to G′ = SU(2)⊗ SU(2) ⊗ SU(2) ⊗ SO(2).N = 2 supersymmetry survives in this case and we have an Osp (42) ⊗ SU(2) ⊗ SU(2) ⊗ SU(2) invariant solution which yields, in four dimensions, N = 2 supergravity coupled to at least the N = 2 SU(2) ⊗ SU(2) ⊗ SU(2) vector multiplet." @default.
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- W2114568312 date "1984-03-01" @default.
- W2114568312 modified "2023-10-18" @default.
- W2114568312 title "N = 2 matter coupled supergravity from compactification on a coset G/H possessing an additional killing vector" @default.
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- W2114568312 doi "https://doi.org/10.1016/0370-2693(84)92018-5" @default.
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