Bogomol'nyi Equations for Einstein-Yang-Mills-Dilaton theory

Details Bogomol'nyi Equations for Einstein-Yang-Mills-Dilaton theory Bogomol'nyi Equations for Einstein-Yang-Mills-Dilaton theory

1999-04-26

arxiv.org/abs/hep-th/9904174v1

Nucl.Phys. B559 (1999) 591-602

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX, 2 epsf figures, uses elsart

Scientific paper

10.1016/S0550-3213(99)00465-4

A static, spherically symmetric and purely magnetic solution of the Einstein-Yang-Mills-Dilaton theory, found previously by numerical integration is shown to obey a system of first order Bogomol'nyi equations. As common for such equations, there is a tight relation to supersymmetry, in the present case to the N=4 gauged SU(2)$\times$SU(2) supergravity of Freedman and Schwarz. Specifically, the dilaton potential of the latter can be avoided by choosing one of the two gauge coupling constants to be imaginary. It is argued that this corresponds to a hitherto unknown N=4 gauged SU(2)$\times$SU(1,1) supergravity in four Euclidean dimensions leading to Bogomol'nyi equations with asymptotically flat solutions.

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