269 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
Off-Shell Formulation of Supergravity on Orbifold
An off-shell formulation is given for the ``supersymmetry in singular
spaces'' which has recently been developed in an on-shell formalism by
Bergshoeff, Kallosh and Van Proeyen using supersymmetry singlet `coupling
constant' field and 4-form multiplier field in five-dimensional space-time. We
present this formulation for a general supergravity-Yang-Mills-hypermultiplet
coupled system compactified on an orbifold . Relations between the
bulk cosmological constant and brane tensions of the boundary planes are
discussed.Comment: 23 pages, no figures, LaTeX, PTPTeX styl
Skyrmions from Instantons inside Domain Walls
Some years ago, Atiyah and Manton described a method to construct approximate
Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical
realization of this construction using domain walls in a five-dimensional gauge
theory. The non-abelian gauge symmetry is broken in each vacuum but restored in
the core of the domain wall, allowing instantons to nestle inside the wall. We
show that the worldvolume dynamics of the wall is given by the Skyrme model,
including the four-derivative term, and the instantons appear as Skyrmions.Comment: 11 pages, 1 figure. v1: References added. v2: typos correcte
Walls and vortices in supersymmetric non-abelian gauge theories
We review recent results on the BPS multi-wall solutions in supersymmetric
U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the
fundamental representation. Total moduli space of the BPS non-Abelian walls is
found to be the complex Grassmann manifold SU(N_F)/[SU(N_C)xSU(N_F-N_C)xU(1)].
Exact solutions are obtained with full generic moduli for infinite gauge
coupling. A 1/4 BPS equation is also solved, giving vortices together with the
non-Abelian walls and monopoles in the Higgs phase attached to the vortices.
The full moduli space of the 1/4 BPS solutions is found to be holomorphic maps
from a complex plane to the wall moduli space.Comment: 10pages, 2figures, Contribution to the proceedings of ``NathFest'' at
PASCOS conference, Northeastern University, Boston, Ma, August 200
Ghostbusters in supergravity
supergravity is known to contain a ghost mode associated with
higher-derivative terms if it contains with greater than two.We
remove the ghost in supergravity by introducing auxiliary gauge field to
absorb the ghost. We dub this method as the ghostbuster
mechanism~\cite{Fujimori:2016udq}. We show that the mechanism removes the ghost
supermultiplet but also terms including with , after integrating
out auxiliary degrees of freedom. For pure supergravity case, there appears an
instability in the resultant scalar potential. We then show that the
instability of the scalar potential can be cured by introducing matter
couplings in such a way that the system has a stable potential.Comment: 24 pages, v2: comments, references, new section added, version
published in JHE
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