### 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 k∈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, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 236 |

Issue number | 4 |

Publication status | Published - 1990 Dec 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics