Dual Heterotic Black-Holes in Four and Two Dimensions

Details Dual Heterotic Black-Holes in Four and Two Dimensions Dual Heterotic Black-Holes in Four and Two Dimensions

1998-06-04

arxiv.org/abs/hep-th/9806036v2

Phys.Lett.B435:277-283,1998

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, 1 reference added

Scientific paper

10.1016/S0370-2693(98)00808-9

We consider a class of extremal and non-extremal four-dimensional black-hole solutions occuring in toroidally compactified heterotic string theory, whose ten-dimensional interpretation involves a Kaluza-Klein monopole and a five-brane. We show that these four-dimensional solutions can be connected to extremal and non-extremal two-dimensional heterotic black-hole solutions through a change in the asymptotic behaviour of the harmonic functions associated with the Kaluza-Klein monopole and with the five-brane. This change in the asymptotic behaviour can be achieved by a sequence of S and T-S-T duality transformations in four dimensions. These transformations are implemented by performing a reduction on a two-torus with Lorentzian signature. We argue that the same mechanism can be applied to extremal and non-extremal black-hole solutions in the FHSV model.

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