Extended Conformal Symmetries in Real Heavens
Sep, 19894 pages
Published in:
- Phys.Lett.B 236 (1990) 429-432
- Published: 1990
Report number:
- UMDEPP-90-037
Citations per year
Abstract: (Elsevier)
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 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.- general relativity
- field theory: Euclidean
- field equations: solution
- duality
- symmetry: conformal
- algebra: W(N)
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