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 | |
| Publication status | Published - Jul 2004 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
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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