Open string diagrams I: Topological type
Copyright policy )Open string diagrams I: Topological type
An arbitrary Feynman graph for string field theory interactions is analyzed and the homeomorphism type of the corresponding world sheet surface is completely determined even in the nonorientable cases. Algorithms are found to mechanically compute the topological characteristics of the resulting surface from the structure of the signed oriented graph. Whitney’s permutation-theoretic coding of graphs is utilized.
High Energy Physics - Theory, Feynman graph for string field theory interactions, Topology of the Euclidean \(2\)-space, \(2\)-manifolds, FOS: Physical sciences, String and superstring theories in gravitational theory, world sheet surface, coding of graphs, open string field theory, Mathematics - Algebraic Geometry, string propagation diagrams, High Energy Physics - Theory (hep-th), FOS: Mathematics, Relations of low-dimensional topology with graph theory, Algebraic Geometry (math.AG)
High Energy Physics - Theory, Feynman graph for string field theory interactions, Topology of the Euclidean \(2\)-space, \(2\)-manifolds, FOS: Physical sciences, String and superstring theories in gravitational theory, world sheet surface, coding of graphs, open string field theory, Mathematics - Algebraic Geometry, string propagation diagrams, High Energy Physics - Theory (hep-th), FOS: Mathematics, Relations of low-dimensional topology with graph theory, Algebraic Geometry (math.AG)
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