TY - JOUR

T1 - Extended conformal symmetries in real heavens

AU - Park, Q. Han

PY - 1990/3/1

Y1 - 1990/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000879490&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000879490&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(90)90378-J

DO - 10.1016/0370-2693(90)90378-J

M3 - Article

AN - SCOPUS:0000879490

SN - 0370-2693

VL - 236

SP - 429

EP - 432

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4

ER -