Affine Lie Algebras, String Junctions and 7-Branes

Abstract

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.

20 pages, 4 figures, LaTeX, BoxedEPS

References in corpus (4)

• String Junctions for Arbitrary Lie Algebra Representations
• Open string - string junction transitions
• Constraints on the BPS Spectrum of N = 2, D = 4 Theories with A-D-E Flavor Symmetry
• Equivalent String Networks and Uniqueness of BPS States

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• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• Duality Between String Junctions and D-Branes on Del Pezzo Surfaces
• F-theory Family Unification
• Non-simply-laced Lie algebras via F theory strings
• Duality and Weyl Symmetry of 7-brane Configurations
• Abelian Fibrations, String Junctions, and Flux/Geometry Duality
• Map of Heterotic and Type IIB Moduli in 8 Dimensions
• Affine Algebras at Infinite Distance Limits in the Heterotic String
• Exotic Brane Junctions from F-theory
• String junctions on backgrounds with a positively charged orientifold plane
• String Webs and Curves of Marginal Stability in Five-Dimensional E_N theories on S^1