Geometry and Topology of String Junctions
Copyright policy )Geometry and Topology of String Junctions
We study elliptic fibrations by analyzing suitable deformations of the fibrations and vanishing cycles. We introduce geometric string junctions and describe some of their properties. We show how the structure of the geometric string junctions is naturally related to the Lie algebra structures of the associated singularities. One application in physics is in F-theory, where our novel approach connecting deformations and Lie algebras describes the structure of generalized type IIB seven-branes and string junction states which end on them.
16 pages. v2: additional comments and references
- University of Pennsylvania United States
- Alma Mater Studiorum University of Bologna Italy
- University of California, Santa Barbara United States
High Energy Physics - Theory, Geometry and Topology; Applied Mathematics, FOS: Physical sciences, Geometric Topology (math.GT), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Fibrations, degenerations in algebraic geometry, Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, High Energy Physics - Theory (hep-th), Formal methods and deformations in algebraic geometry, FOS: Mathematics, Algebraic Geometry (math.AG), Simple, semisimple, reductive (super)algebras
High Energy Physics - Theory, Geometry and Topology; Applied Mathematics, FOS: Physical sciences, Geometric Topology (math.GT), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Fibrations, degenerations in algebraic geometry, Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, High Energy Physics - Theory (hep-th), Formal methods and deformations in algebraic geometry, FOS: Mathematics, Algebraic Geometry (math.AG), Simple, semisimple, reductive (super)algebras
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