Matrix Dilaton-Axion for Heterotic String in Three Dimensions

Details Matrix Dilaton-Axion for Heterotic String in Three Dimensions Matrix Dilaton-Axion for Heterotic String in Three Dimensions

1995-07-29

arxiv.org/abs/hep-th/9507164v1

Phys.Lett. B361 (1995) 52-58

Physics

High Energy Physics

High Energy Physics - Theory

LATEX, 9 pages, no figures

Scientific paper

10.1016/0370-2693(95)01113-5

New and surprisingly simple representation is found for the heterotic string bosonic effective action in three dimensions in terms of complex potentials. The system is presented as a K\"ahler $\sigma$--model using complex symmetric $2\times 2$ matrix (matrix dilaton--axion) which depends linearly on three Ernst--type potentials and transforms under $U$--duality via matrix valued $SL(2,R)$. Two discrete automorphisms relating ten isometries of the target space (U--duality transformations) are found and used to generate the non--trivial Ehlers--Harrison sector by a map from the trivial gauge sector. Finite transformations are obtained in a simple form in terms of complex potentials. New solution generating technique is used to construct EMDA double--Kerr solution.

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