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

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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Article number024013
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number2
Publication statusPublished - Jul 2004

ASJC Scopus subject areas

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

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