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Paper detail

The Gibbons-Hawking ansatz in generalized Kähler geometry

We derive a local ansatz for generalized Kähler surfaces with nondegenerate Poisson structure and a biholomorphic $S^1$ action which generalizes the classic Gibbons-Hawking ansatz for invariant hyperKähler manifolds, and allows for the choice of one arbitrary function. By imposing the generalized Kähler-Ricci soliton equation, or equivalently the equations of type IIB string theory, the construction becomes rigid, and we classify all complete solutions with the smallest possible symmetry group.

preprint2022arXivOpen access
Jeffrey StreetsYury Ustinovskiy
math.CVmath-phmath.MPmath.DG
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Jeffrey StreetsYury Ustinovskiy

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