Israel--Wilson--Perjés Solutions in Heterotic String Theory

Details Israel--Wilson--Perjés Solutions in Heterotic String Theory Israel--Wilson--Perjés Solutions in Heterotic String Theory

1998-06-18

arxiv.org/abs/hep-th/9806154v2

Int.J.Mod.Phys.A14:1345-1356,1999

Physics

High Energy Physics

High Energy Physics - Theory

14 pages in LaTex. We have omited a reference in the abstract for the online listings

Scientific paper

10.1142/S0217751X99000701

We present a simple algorithm to obtain solutions that generalize the Israel--Wilson--Perj\'es class for the low-energy limit of heterotic string theory toroidally compactified from D=d+3 to three dimensions. A remarkable map existing between the Einstein--Maxwell (EM) theory and the theory under consideration allows us to solve directly the equations of motion making use of the matrix Ernst potentials connected with the coset matrix of heterotic string theory. For the particular case d=1 (if we put n=6, the resulting theory can be considered as the bosonic part of the action of D=4, N=4 supergravity) we obtain explicitly a dyonic solution in terms of one real 2\times 2--matrix harmonic function and 2n real constants (n being the number of Abelian vector fields). By studying the asymptotic behaviour of the field configurations we define the charges of the system. They satisfy the Bogomol'nyi--Prasad--Sommmerfeld (BPS) bound.

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