255 research outputs found
Non-Abelian Gauge Field Localized on Walls with Four-Dimensional World Volume
A mechanism using the position-dependent gauge coupling is proposed to
localize non-Abelian gauge fields on domain walls in five-dimensional
space-time. Low-energy effective theory posseses a massless vector field, and a
mass gap. The four-dimensional gauge invariance is maintained intact. We obtain
perturbatively the four-dimensional Coulomb law for static sources on the
domain wall. BPS domain wall solutions with the localization mechanism are
explicitly constructed in the U(1)xU(1) supersymmetric gauge theory coupling to
the non-Abelian gauge fields only through the cubic prepotential, which is
consistent with the general principle of supersymmetry in five-dimensional
space-time.Comment: 22 pages, 5 figures, 5 references added for section
Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
Non-abelian gauge theories in the Higgs phase admit a startling variety of
BPS solitons. These include domain walls, vortex strings, confined monopoles
threaded on vortex strings, vortex strings ending on domain walls, monopoles
threaded on strings ending on domain walls, and more. After presenting a
self-contained review of these objects, including several new results on the
dynamics of domain walls, we go on to examine the possible interactions of
solitons of various types. We point out the existence of a classical binding
energy when the string ends on the domain wall which can be thought of as a BPS
boojum with negative mass. We present an index theorem for domain walls in
non-abelian gauge theories. We also answer questions such as: Which strings can
end on which walls? What happens when monopoles pass through domain walls? What
happens when domain walls pass through each other?Comment: 46 Pages (35 pages of body + appendices). 12 Figures. v2: References
added. Minor correction to index theorem in appendix
Localized Gauge Multiplet on a Wall
The localization of vector multiplets is examined using the {\cal N}=1
supersymmetric U(1) gauge theory with the Fayet-Iliopoulos term coupled to
charged chiral multiplets in four dimensions. The vector field becomes
localized on a BPS wall connecting two different vacua that break the gauge
symmetry. The vacuum expectation values of charged fields vanish
(approximately) around the center of the wall, causing the Higgs mechanism to
be ineffective. The mass of the localized vector multiplet is found to be the
inverse width of the wall. The model gives an explicit example of this general
phenomenon. A five-dimensional version of the model can also be constructed if
we abandon supersymmetry.Comment: 14 pages, 3 figures, final version to appear in Prog. Theor. Phy
Selecting Gauge Theories on an Interval by 5D Gauge Transformations
Gauge symmetry breaking by boundary conditions is studied in a general warped
geometry in five dimensions. It has been suggested that a wider class of
boundary conditions is allowed by requiring only vanishing surface terms when
deriving the field equations for gauge theories on an interval (i.e., employing
a variational principle), in comparison to the twist in orbifolding with
automorphisms of the Lie algebra. We find that there are classes of boundary
conditions allowed by the variational principle which violate the
Ward-Takahashi identity and give four-point tree amplitudes that increase with
energy in channels that have not yet been explored, leading to cross sections
that increase as powers of the energy (which violates the tree level
unitarity). We also find that such boundary conditions are forbidden by the
requirement that the definitions of the restricted class of five-dimensional
(5D) gauge transformations be consistent.Comment: 21 pages, 4 figures; typos corrected(v2), a footnote added for
section 3(v3), added explanations(v4), typos corrected, a part of section 2.3
restructured and paragraphs added for section 3(v5), presentation modified
and typos corrected(v6), PTP version(v7
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