W infinity and anomalies of self-dual Einstein theories

Journal Article · Fri Jun 28 04:00:00 EDT 1991 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732391002049· OSTI ID:5735935

Rodgers, V G.J. ^[1]

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1. Dept. of Physics and Astronomy, Univ. of Iowa, Iowa City, IA (US)

Recently it has been demonstrated that self-dual Einstein Euclidean instantons possess an infinite-dimensional group of symmetries which contain the standard {omega}{sub {infinity}}. This paper reports that, since {omega}{sub {infinity}} has a central extension only in its {omega}{sub 2} subalgebra one may claim that there is an anomaly in the symmetry group of these instantons which is described by a 3-dimensional {omega}{sub 2} effective action. Thus one has a bosonization of the 3/2 spin anomaly of the Eguchi-Hanson instantons. In analogy to {omega}{sub {infinity}} we construct the 3-dimensional effective action for the Lone Star W{sub {infinity}} algebra. This suggests that there is a quantum deformation of the instantons that contributes to the effective action of 4-dimensional self-dual gravity. The authors comment on this possibility.

• OSTI ID: 5735935
• Journal Information: Modern Physics Letters A; (United States), Journal Name: Modern Physics Letters A; (United States) Vol. 6:20; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

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