Making the hyper--Kähler structure of N=2 quantum string manifest
arXiv:hep-th/0403255 · doi:10.1103/PhysRevD.70.024013
Abstract
We show that the Lorentz covariant formulation of N=2 string in a curved space reveals an explicit hyper--Kähler structure. Apart from the metric, the superconformal currents couple to a background two--form. By superconformal symmetry the latter is constrained to be holomorphic and covariantly constant and allows one to construct three complex structures obeying a (pseudo)quaternion algebra.
8 pages, no figures, PACS: 04.60.Ds; 11.30.Pb, Keywords: N=2 string, hyper-Kähler geometry. Presentation improved, references added. The version to appear in PRD
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