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.
|Number of pages||4|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 1990 Dec 1|
ASJC Scopus subject areas
- Nuclear and High Energy Physics