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- W3176615845 abstract "We associate to the resolved conifold an affine special Kähler (ASK) manifold of complex dimension 1, and an instanton corrected hyperkähler (HK) manifold of complex dimension 2. We describe these geometries explicitly, and show that the instanton corrected HK geometry realizes an Ooguri-Vafa-like smoothing of the semi-flat HK metric associated to the ASK geometry. On the other hand, the instanton corrected HK geometry associated to the resolved conifold can be described in terms of a twistor family of two holomorphic Darboux coordinates. We study a certain conformal limit of the twistor coordinates, and conjecture a relation to a solution of a Riemann-Hilbert problem previously considered by T. Bridgeland." @default.
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- W3176615845 date "2022-10-01" @default.
- W3176615845 modified "2023-09-27" @default.
- W3176615845 title "A hyperkähler geometry associated to the BPS structure of the resolved conifold" @default.
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- W3176615845 doi "https://doi.org/10.1016/j.geomphys.2022.104618" @default.
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