M. Cvetic et A. Tseytlin, GENERAL-CLASS OF BPS SATURATED DYONIC BLACK-HOLES AS EXACT SUPERSTRING SOLUTIONS, Physics letters. Section B, 366(1-4), 1996, pp. 95-103
We show that a four-parameter generating solution for a general class
of four-dimensional, spherically-symmetric, static, dyonic BPS saturat
ed solutions of leading-order effective equations of toroidally compac
tified heterotic string theory is an exact string solution. The corres
ponding ten-dimensional background defines a conformal sigma-model whi
ch is a particular case of a 'chiral null model' with curved 'transver
se' part. The exact conformal invariance is a consequence of the chira
l null structure of the 'electric' part of the model and the N = 4 wor
ld-sheet supersymmetry of its transverse 'magnetic' part. The sigma-mo
del action has a remarkable covariance under both target space T-duali
ty and the electro-magnetic S-duality transformations, and it illustra
tes the relationship between string-string duality in six dimensions a
nd S-duality in four dimensions. In general, there exists a large clas
s of exact six-dimensional superstring solutions described by chiral n
ull models with four-dimensional transverse parts represented by N = 4
supersymmetric sigma-models with metrics conformal to hyper-Kahler on
es.