10 research outputs found
BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement
Starting from the bosonic part of N=2 Super QCD with a 'Seiberg-Witten' N=2
breaking mass term, we obtain string BPS conditions for arbitrary semi-simple
gauge groups. We show that the vacuum structure is compatible with a symmetry
breaking scheme which allows the existence of Z_k-strings and which has
Spin(10) -> SU(5) x Z_2 as a particular case. We obtain BPS Z_k-string
solutions and show that they satisfy the same first order differential
equations as the BPS string for the U(1) case. We also show that the string
tension is constant, which may cause a confining potential between monopoles
increasing linearly with their distance.Comment: 11 pages, Latex. Minor changes to the text. Final version to appear
in Phys. Rev.
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Vortices in supersymmetric gauge field theory are important constructs in a
basic conceptual phenomenon commonly referred to as the dual Meissner effect
which is responsible for color confinement. Based on a direct minimization
approach, we present a series of sharp existence and uniqueness theorems for
the solutions of some non-Abelian vortex equations governing color-charged
multiply distributed flux tubes, which provide an essential mechanism for
linear confinement. Over a doubly periodic domain, existence results are
obtained under explicitly stated necessary and sufficient conditions that
relate the size of the domain, the vortex numbers, and the underlying physical
coupling parameters of the models. Over the full plane, existence results are
valid for arbitrary vortex numbers and coupling parameters. In all cases,
solutions are unique.Comment: 38 pages, late
Gravity localization with a domain wall junction in six dimensions
We study gravity localization in the context of a six-dimensional gravity
model coupled with complex scalar fields. With a supergravity-motivated scalar
potential, we show that the domain wall junction solutions localize a
four-dimensional massless graviton under an assumption on the wall profile. We
find that unlike the global supersymmetric model, contributions to the junction
tension cancel locally with gravitational contributions. The wall tension
vanishes due to the metric suppression.Comment: Latex, 13 pages, a paragraph and references added, typos correcte