1998/09/03 by Oliver DeWolfe
Mathematics · Physics and Astronomy · #Affine Lie algebra #Affine transformation #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Brane cosmology #Current algebra #Intersection (aeronautics) #Lie algebra #Mathematics #Non-critical string theory #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum affine algebra #Realization (probability) #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00231-x
published as Nucl.Phys. B550 (1999) 622-637 · 20 pages, 4 figures, LaTeX, BoxedEPS
arxiv created 1998/09/03 · openalex publication_date 1999/06/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the realization of affine ADE Lie algebras as string junctions on mutually non-local 7-branes in Type IIB string theory. The existence of the affine algebra is signaled by the presence of the imaginary root junction ``delta'', which is realized as a string encircling the 7-brane configuration. The level k of an affine representation partially constrains the asymptotic (p,q) charges of string junctions departing the configuration. The junction intersection form reproduces the full affine inner product, plus terms in the asymptotic charges.