Elliptic constructions of hyperkaehler metrics II: The quantum mechanics of a Swann bundle

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dc.creatorIonas, Radu A.
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:52:25Z
dc.date.available2026-07-07T08:52:25Z
dc.descriptionThe 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.
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0712.3600
dc.identifierhttp://arxiv.org/abs/0712.3600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145272
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleElliptic constructions of hyperkaehler metrics II: The quantum mechanics of a Swann bundle
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