Mustapha Azreg-Ainou, Gerard Clement, Dmitri V. Galtsov. All extremal instantons in Einstein-maxwell-dilaton-axion theory

Natural Sciences / Physics / Gravitation Theory (Relativity)

Submitted on: Sep 16, 2012, 16:02:38

Description: We construct explicitly all extremal instanton solutions to $cN=4,, D=4$ supergravity truncated to one vector field (Einstein-Maxwell-dilaton-axion (EMDA) theory). These correspond to null geodesics of the target space of the sigma-model $G/H=Sp(4,mathbb{R})/GL(2,R)$ obtained by compactification of four-dimensional Euclidean EMDA on a circle. They satisfy a no-force condition in terms of the asymptotic charges and part of them (corresponding to nilpotent orbits of the $Sp(4,mathbb{R})$ U-duality) are presumably supersymmetric. The space of finite action solutions is found to be unexpectedly large and includes, besides the Euclidean versions of known Lorentzian solutions, a number of new asymptotically locally flat (ALF) instantons endowed with electric, magnetic, dilaton and axion charges. We also describe new classes of charged asymptotically locally Euclidean (ALE) instantons as well as some exceptional solutions.

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