Making the hyper-Kähler structure ofN=2quantum string manifest

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un 2 00 4 Making the hyper – Kähler structure of N = 2 quantum string manifest

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. P...

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h / 04 03 25 5 v 2 8 Ju n 20 04 Making the hyper – Kähler structure of N = 2 quantum string manifest

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. P...

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We show that the Lorentz covariant formulation of N = 2 string in a curved space reveals the 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 in an explicit form. PACS: 04.60.Ds; 11.30.Pb

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2004

ISSN: 1550-7998,1550-2368

DOI: 10.1103/physrevd.70.024013