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

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

Research output: Contribution to journal › Article

3 Citations (Scopus)

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 languageEnglish
Article number024013
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number2
DOIs
Publication statusPublished - Jul 2004

Fingerprint

quaternions
Quaternion Algebra
Complex Structure
algebra
strings
Strings
formulations
Symmetry
Metric
Formulation
symmetry
Background
Form

ASJC Scopus subject areas

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

Cite this

Making the hyper-Kähler structure of N = 2 quantum string manifest. / Bellucci, S.; Galajinsky, A. V.; Latini, E.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 70, No. 2, 024013, 07.2004.

Research output: Contribution to journal › Article

Bellucci, S, Galajinsky, AV & Latini, E 2004, 'Making the hyper-Kähler structure of N = 2 quantum string manifest', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 70, no. 2, 024013. https://doi.org/10.1103/PhysRevD.70.024013
Bellucci S, Galajinsky AV, Latini E. Making the hyper-Kähler structure of N = 2 quantum string manifest. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2004 Jul;70(2). 024013. https://doi.org/10.1103/PhysRevD.70.024013
Bellucci, S. ; Galajinsky, A. V. ; Latini, E. / Making the hyper-Kähler structure of N = 2 quantum string manifest. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2004 ; Vol. 70, No. 2.
@article{677ce6fbd500413c9cbb053424c242f1,
title = "Making the hyper-K{\"a}hler structure of N = 2 quantum string manifest",
abstract = "We show that the Lorentz covariant formulation of N = 2 string in a curved space reveals an explicit hyper-K{\"a}hler 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.",
author = "S. Bellucci and Galajinsky, {A. V.} and E. Latini",
year = "2004",
month = "7",
doi = "10.1103/PhysRevD.70.024013",
language = "English",
volume = "70",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "2",

}

TY - JOUR

T1 - Making the hyper-Kähler structure of N = 2 quantum string manifest

AU - Bellucci, S.

AU - Galajinsky, A. V.

AU - Latini, E.

PY - 2004/7

Y1 - 2004/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=45849155371&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45849155371&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.70.024013

DO - 10.1103/PhysRevD.70.024013

M3 - Article

VL - 70

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 024013

ER -

Access to Document