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

S. Bellucci, A. V. Galajinsky, E. Latini

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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.

Original language	English
Article number	024013
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	70
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.70.024013
Publication status	Published - Jul 2004

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ASJC Scopus subject areas

Physics and Astronomy(all)
Nuclear and High Energy Physics
Mathematical Physics

Cite this

Bellucci, S., Galajinsky, A. V., & Latini, E. (2004). Making the hyper-Kähler structure of N = 2 quantum string manifest. Physical Review D - Particles, Fields, Gravitation and Cosmology, 70(2), [024013]. https://doi.org/10.1103/PhysRevD.70.024013

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Access to Document

10.1103/PhysRevD.70.024013