### Abstract

Real, self-dual, euclidean Einstein spaces (real heavens) admitting one rotational Killing symmetry are shown to posses the extended conformal symmetries - the large n limit of Zamolodchikov's W_{n} algebra. Explicit transformation rules corresponding to each conformal spin kε{lunate}Z are derived and they are shown to form a representation of a symmetry algebra isomorphic to sdiff_{+}R^{2} - a subalgebra of locally area preserving diffeomorphisms. This relates two dimensional conformal field theory with four dimensional integrable systems and provides a systematic way to generalize the Eguchi-Hanson gravitational instanton.

Original language | English |
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Pages (from-to) | 429-432 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 236 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1990 Mar 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Park, Q. H. (1990). Extended conformal symmetries in real heavens.

*Physics Letters B*,*236*(4), 429-432. https://doi.org/10.1016/0370-2693(90)90378-J