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Duality Symmetry and Soldering in Different Dimensions

1997/10/07 by R. Banerjee, Rudra Banerjee, Banerjee, R. +2 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9710060

LaTeX file, 30 pages

arxiv created 1997/10/07 · openalex publication_date 1997/10/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in four dimensions. In all cases there are two such distinct actions. Furthermore, by soldering these distinct actions in any dimension a master action is obtained which is duality invariant under a much bigger set of symmetries than is usually envisaged. The concept of swapping duality is introduced and its implications are discussed. The effects of coupling to gravity are also elaborated. Finally, the extension of the analysis for arbitrary dimensions is indicated.

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