20,588 research outputs found
Small Winding-Number Expansion: Vortex Solutions at Critical Coupling
We study an axially symmetric solution of a vortex in the Abelian-Higgs model
at critical coupling in detail. Here we propose a new idea for a perturbative
expansion of a solution, where the winding number of a vortex is naturally
extended to be a real number and the solution is expanded with respect to it
around its origin. We test this idea on three typical constants contained in
the solution and confirm that this expansion works well with the help of the
Pad\'e approximation. For instance, we analytically reproduce the value of the
scalar charge of the vortex with an error of . This expansion is
also powerful even for large winding numbers.Comment: 38 pages,48 figure
Superconformal Tensor Calculus on an Orbifold in 5D
Superconformal tensor calculus on an orbifold S^1/Z_2 is given in
five-dimensional (5D) spacetime. The four-dimensional superconformal Weyl
multiplet and various matter multiplets are induced on the boundary planes from
the 5D supermultiplets in the bulk. We identify those induced 4D
supermultiplets and clarify a general method for coupling the bulk fields to
the matter fields on the boundaries in a superconformal invariant manner.Comment: 31 pages, no figures, LaTeX, version to appear in PT
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