2007/08/31 by David S. Berman, Neil B. Copland, Daniel C. Thompson · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Dimension (graph theory) #Duality (order theory) #Equivalence (formal languages) #Field (mathematics) #Field equation #Geometry #Mathematical physics #Mathematics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Relationship between string theory and quantum field theory #Rotation formalisms in three dimensions #Sigma #Sigma model #Space (punctuation) #String (physics) #String cosmology #String duality #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.09.021
published as Nucl.Phys.B791:175-191,2008 · 26 pages, latex, v2 typos corrected
arxiv created 2007/09/13 · openalex publication_date 2007/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper describes the background field equations for strings in T-duality symmetric formalisms in which the dimension of target space is doubled and the sigma model supplemented with constraints. These are calculated by demanding the vanishing of the beta-functional of the sigma model couplings in the doubled target space. We demonstrate the equivalence with the background field equations of the standard string sigma model.