Hyper-Kahler Metrics and Harmonic Superspace.

摘要

Using the harmonic superspace techniques with central charges, we study the U(1) hypermultiplet self-interaction by working out a general class of solutions of the auxiliary field equations of motion in presence of spinor fields. These solutions depend on an extra unfixed degree of freedom omega which can be gauged away through an additional condition. The resulting metric is omega -dependent and is shown to be hyper-Kaehler. The induced scalar potential is discussed. The fermionic solutions are found to be rotated by an extra local SU(2) symmetry leading to the normalization given by Galperin et al. for the vielbein fields. The full spinorial contribution of the model is given in terms of the N=2 on shell multiplet (f/sup i/, xi, eta-bar). (author). 17 refs. (Atomindex citation 19:052435)