Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-25
Phys.Rev. D70 (2004) 024013
Physics
High Energy Physics
High Energy Physics - Theory
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.
Bellucci Stefano
Galajinsky Anton V.
Latini Emanuele
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