Strong-Weak Coupling Duality in Three Dimensional String Theory

Abstract

Following an old result of Marcus and Schwarz we argue that in the heterotic string theory compactified on a seven dimensional torus, the target space duality group O(7,23;Z) and the strong-weak coupling duality transformations combine into the group O(8,24;Z). We discuss symmetry of the combined spectrum of elementary particles and solitons in the theory, and also show that the existence of this symmetry predicts the number of harmonic forms on the moduli space of periodic arrays of BPS monopoles in (3+1) dimensions. Finally, we show that the O(8,24;Z) transformations relate the soliton solutions of Dabholkar et. al. representing the fundamental string to the soliton solutions of Greene et. al. representing `stringy cosmic strings'.

41 pages, phyzzx.tex, TIFR-TH-94-19 (Some references have been added. No change in the text.)

References in corpus (18)

• Noncompact Symmetries in String Theory
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Duality, Quotients, and Currents
• Duality Symmetric Actions
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Duality Symmetries of 4D Heterotic Strings
• Twisting Classical Solutions in Heterotic String Theory
• Generalized Duality in Curved String-Backgrounds
• (0,2) Landau-Ginzburg Theory
• Electric Magnetic Duality in String Theory
• Magnetic Monopoles in String Theory
• Quantization of Dyon Charge and Electric-Magnetic Duality in String Theory
• Four-Dimensional String/String Duality
• Low Energy Dynamics of N=2 Supersymmetric Monopoles
• Magnetic Monopoles, Bogomol'nyi Bound and SL(2,Z) Invariance in String Theory
• New Black Hole, String and Membrane Solutions of the Four-Dimensional Heterotic String
• SL(2, Z) Duality and Magnetically Charged Strings
• Low-Energy Dynamics of Supersymmetric Solitons

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