1998/08/18 by M. Araki, Minako Araki, Yoshiaki Tanii +1 · 18 citations
Mathematics · Physics and Astronomy · #Antisymmetric tensor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Gauge anomaly #Gauge symmetry #Gauge theory #Geometry #Homogeneous space #Invariant (physics) #Mathematical physics #Mathematics #Nonlinear system #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar field #Seiberg duality #Sigma model #Supersymmetric gauge theory #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1142/s0217751x99000579
published in International Journal of Modern Physics A 14(07), 1139-1149 (World Scientific) · 15 pages, LaTeX, added references
arxiv created 1998/08/18 · openalex publication_date 1999/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Duality symmetries are discussed for nonlinear gauge theories of (n-1)th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be compact. We find conditions on the Lagrangian required by compact duality symmetries and show an example of duality invariant nonlinear theories. We also discuss how to enlarge the duality symmetries to noncompact groups by coupling scalar fields described by nonlinear sigma models.