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- W1965600428 abstract "Quaternion Kähler manifolds are known to be the target spaces for matter hypermultiplets coupled to = 2 supergravity. It is also known that there is a one-to-one correspondence between 4n-dimensional quaternion Kähler manifolds and those 4(n+1)-dimensional hyperkähler spaces which are the target spaces for rigid superconformal hypermultiplets (such spaces are called hyperkähler cones). In this paper we present a projective-superspace construction to generate a hyperkähler cone 4(n+1)H of dimension 4(n+1) from a 2n-dimensional real analytic Kähler-Hodge manifold 2nK. The latter emerges as a maximal Kähler submanifold of the 4n-dimensional quaternion Kähler space 4nQ such that its Swann bundle coincides with 4(n+1)H. Our approach should be useful for the explicit construction of new quaternion Kähler metrics. The results obtained are also of interest, e.g., in the context of supergravity reduction = 2 → = 1, or alternatively from the point of view of embedding = 1 matter-coupled supergravity into an = 2 theory." @default.
- W1965600428 created "2016-06-24" @default.
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- W1965600428 date "2009-09-28" @default.
- W1965600428 modified "2023-09-23" @default.
- W1965600428 title "New extended superconformal sigma models and quaternion Kähler manifolds" @default.
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- W1965600428 doi "https://doi.org/10.1088/1126-6708/2009/09/119" @default.
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