1995/07/29 by D. V. Gal'tsov, D.V. Gal’tsov, Oleg V. Kechkin +1 · 2 citations
Mathematics · Physics and Astronomy · #Automorphism #Axion #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dilaton #Duality (order theory) #Effective action #Heterotic string theory #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Simple (philosophy) #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/0370-2693(95)01113-5
published as Phys.Lett. B361 (1995) 52-58 · LATEX, 9 pages, no figures
arxiv created 1995/07/29 · openalex publication_date 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Kähler σ--model using complex symmetric 2× 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.