IWP SOLUTIONS FOR HETEROTIC STRING IN FIVE DIMENSIONS

We obtain extremal stationary solutions that generalize the Israel–Wilson–Perjes class for the low-energy limit of heterotic string theory with n≥3U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real (3×3)-matrix harmonic function. By studying the asymptotic behavior of the field configurations, we define the physical charges of the field system. The extremality condition makes the charges saturate the Bogomol'nyi–Prasad–Sommmerfield (BPS) bound.