1995/10/14 by S. F. Hewson, S Hewson · 12 citations
Decision Sciences · Mathematics · Physics and Astronomy · #Dual polyhedron #Duality (order theory) #Fuzzy and Soft Set Theory #Geometric and Algebraic Topology #Group (periodic table) #Isometry (Riemannian geometry) #Isometry group #Rings, Modules, and Algebras #Space (punctuation) #String (physics) #Symmetry (geometry) #Symmetry group #hep-th
paper · pdf · doi:10.1088/0264-9381/13/7/007
published in Classical and Quantum Gravity 13(7), 1739-1750 (IOP Publishing) · 26 pages LaTeX, one figure as a uuencoded postscript file
arxiv created 1995/10/14 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the non-Abelian target space duals of Taub - NUT space. This space has the local isometry group , the action of which has fixed points. We dualize over the entire symmetry group as well as the subgroups SO(3) and U(1), presenting unusual new solutions to low-energy string theory. The solutions are shown to have similar properties to C-metrics and monopole spacetimes, and they highlight the relationship between fixed points of an isometry in one solution and singular points in another. We also find the interesting results that, in this case, the U(1) and SO(3) duality procedures commute with each other, and that the extreme points of the O(1,1) duality group for the time translations have special significance under the SO(3) duality.