Macroscopic superstrings as interpolating solitons

Abstract

It is known that, in string sigma-model metric, the ‘extreme’ fivebrane solution of D = 10 supergravity interpolates between D = 10 Minkowski spacetime and a supersymmetric S 3 compactification to a linear dilaton vacuum. We show here that, in fivebrane sigma-model metric, the extreme string solution of D = 10 supergravity interpolates between Minkowski spacetime and a hitherto unknown supersymmetric S 7 compactification of d = 10 supergravity to a three-dimensional anti-de Sitter generalization of the linear dilaton vacuum, which may be invariantly characterized in terms of conformal Killing vectors. The dilaton field diverges near the string core but this divergence may be eliminated by re-interpreting the string solution as the extreme membrane solution of 11-dimensional supergravity. We show that the latter has an analytic extension through a regular degenerate event horizon to an interior region containing a curvature singularity. We obtain analogous results for other extended object solutions of supergravity theories.