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- W1839341242 abstract "The generalized Legendre transform method of Lindstrom and Rocek yields hyperkaehler metrics from holomorphic functions. Its main ingredients are sections of ${cal O}(2j)$ bundles over the twistor space satisfying a reality condition with respect to antipodal conjugation on the hyperkaehler sphere of complex structures. Formally, the structure of the real ${cal O}(2j)$ sections is identical to that of quantum-mechanical wave functions describing the states of a particle with spin $j$ in the spin coherent representation. We analyze these sections and their SO(3) invariants and illustrate our findings with two Swann bundle constructions." @default.
- W1839341242 created "2016-06-24" @default.
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- W1839341242 date "2007-12-21" @default.
- W1839341242 modified "2023-09-27" @default.
- W1839341242 title "Elliptic constructions of hyperkaehler metrics II: The quantum mechanics of a Swann bundle" @default.
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