Making the hyper--Kähler structure of N=2 quantum string manifest

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, no figures, PACS: 04.60.Ds; 11.30.Pb, Keywords: N=2 string, hyper-K\"ahler geometry. Presentation improved, reference

Scientific paper

10.1103/PhysRevD.70.024013

We show that the Lorentz covariant formulation of N=2 string in a curved space reveals an explicit hyper--K\"ahler 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.

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