### Abstract

We construct the representation of the small N=4 superconformal algebra in curved space under the minimal interaction assumption. We find that the structure relations of the algebra are satisfied within our assumption in the background of the metric of a pseudo-hyper-Kähler manifold.

Original language | English |
---|---|

Pages (from-to) | 88-97 |

Number of pages | 10 |

Journal | Theoretical and Mathematical Physics |

Volume | 138 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2004 |

### Fingerprint

### Keywords

- Pseudo-hyper-Kähler geometry
- Superconformal algebra

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**N=4 superconformal algebra in curved space and pseudo-hyper-Kähler geometry.** / Galajinsky, A. V.; Myagky, A. N.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - N=4 superconformal algebra in curved space and pseudo-hyper-Kähler geometry

AU - Galajinsky, A. V.

AU - Myagky, A. N.

PY - 2004/1/1

Y1 - 2004/1/1

N2 - We construct the representation of the small N=4 superconformal algebra in curved space under the minimal interaction assumption. We find that the structure relations of the algebra are satisfied within our assumption in the background of the metric of a pseudo-hyper-Kähler manifold.

AB - We construct the representation of the small N=4 superconformal algebra in curved space under the minimal interaction assumption. We find that the structure relations of the algebra are satisfied within our assumption in the background of the metric of a pseudo-hyper-Kähler manifold.

KW - Pseudo-hyper-Kähler geometry

KW - Superconformal algebra

UR - http://www.scopus.com/inward/record.url?scp=3843069848&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3843069848&partnerID=8YFLogxK

U2 - 10.1023/B:TAMP.0000010636.12320.7f

DO - 10.1023/B:TAMP.0000010636.12320.7f

M3 - Article

VL - 138

SP - 88

EP - 97

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 1

ER -