Eguchi-Hanson Type Metrics from Harmonic Superspace

摘要

The harmonic superspace provides a framework for constructing general hyper-Kahler metrics. The simple example of the Taub-NUT manifold was given previously. Here we show that the harmonic superspace Lagrangian Lsup(+4)=1/4((Dsup(++) omega )sup(2)-(xisup(++)sup(2) omega sup(-2)) for a single interacting hypermultiplet describes an N=2 superssymmetric hyper-Kahler sigma-model witn the d=4 Eguchi-Hanson instanton as its target manifold. The potential omega sup -2 is the unique one invariant with respect to a Pauli-Gurseylike SU(2) group. We present other harmonic superspace actions which we expect to yield some other types of hyper-Kahler metrics, including the multi-Eguchi-Hanson and Calabi ones, etc. 17 refs. (Atomindex citation 17:084231)