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 Wn 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+R2 - 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